{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<img src=\"http://hilpisch.com/tpq_logo.png\" alt=\"The Python Quants\" width=\"35%\" align=\"right\" border=\"0\"><br>"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Python for Finance (2nd ed.)\n",
    "\n",
    "**Mastering Data-Driven Finance**\n",
    "\n",
    "&copy; Dr. Yves J. Hilpisch | The Python Quants GmbH\n",
    "\n",
    "<img src=\"http://hilpisch.com/images/py4fi_2nd_shadow.png\" width=\"300px\" align=\"left\">"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Trading Strategies (b)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import pandas as pd\n",
    "import datetime as dt\n",
    "from pylab import mpl, plt\n",
    "import warnings"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "scrolled": true
   },
   "outputs": [],
   "source": [
    "warnings.simplefilter('ignore')\n",
    "plt.style.use('seaborn')\n",
    "mpl.rcParams['font.family'] = 'serif'\n",
    "np.random.seed(1000)\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Linear OLS Regression"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### The Data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "raw = pd.read_csv('http://hilpisch.com/tr_eikon_eod_data.csv',\n",
    "                  index_col=0, parse_dates=True).dropna()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Index(['AAPL.O', 'MSFT.O', 'INTC.O', 'AMZN.O', 'GS.N', 'SPY', '.SPX', '.VIX',\n",
       "       'EUR=', 'XAU=', 'GDX', 'GLD'],\n",
       "      dtype='object')"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "raw.columns"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "symbol = 'EUR='"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "data = pd.DataFrame(raw[symbol])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "data['returns'] = np.log(data / data.shift(1))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "data.dropna(inplace=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "data['direction'] = np.sign(data['returns']).astype(int)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>EUR=</th>\n",
       "      <th>returns</th>\n",
       "      <th>direction</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Date</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>2010-01-05</th>\n",
       "      <td>1.4368</td>\n",
       "      <td>-0.002988</td>\n",
       "      <td>-1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2010-01-06</th>\n",
       "      <td>1.4412</td>\n",
       "      <td>0.003058</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2010-01-07</th>\n",
       "      <td>1.4318</td>\n",
       "      <td>-0.006544</td>\n",
       "      <td>-1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2010-01-08</th>\n",
       "      <td>1.4412</td>\n",
       "      <td>0.006544</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2010-01-11</th>\n",
       "      <td>1.4513</td>\n",
       "      <td>0.006984</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "              EUR=   returns  direction\n",
       "Date                                   \n",
       "2010-01-05  1.4368 -0.002988         -1\n",
       "2010-01-06  1.4412  0.003058          1\n",
       "2010-01-07  1.4318 -0.006544         -1\n",
       "2010-01-08  1.4412  0.006544          1\n",
       "2010-01-11  1.4513  0.006984          1"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "data['returns'].hist(bins=35, figsize=(10, 6));\n",
    "# plt.savefig('../../images/ch15/strat_ml_01.png')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "lags = 2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "def create_lags(data):\n",
    "    global cols\n",
    "    cols = []\n",
    "    for lag in range(1, lags + 1):\n",
    "        col = 'lag_{}'.format(lag)\n",
    "        data[col] = data['returns'].shift(lag)\n",
    "        cols.append(col)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "create_lags(data)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>EUR=</th>\n",
       "      <th>returns</th>\n",
       "      <th>direction</th>\n",
       "      <th>lag_1</th>\n",
       "      <th>lag_2</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Date</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>2010-01-05</th>\n",
       "      <td>1.4368</td>\n",
       "      <td>-0.002988</td>\n",
       "      <td>-1</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2010-01-06</th>\n",
       "      <td>1.4412</td>\n",
       "      <td>0.003058</td>\n",
       "      <td>1</td>\n",
       "      <td>-0.002988</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2010-01-07</th>\n",
       "      <td>1.4318</td>\n",
       "      <td>-0.006544</td>\n",
       "      <td>-1</td>\n",
       "      <td>0.003058</td>\n",
       "      <td>-0.002988</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2010-01-08</th>\n",
       "      <td>1.4412</td>\n",
       "      <td>0.006544</td>\n",
       "      <td>1</td>\n",
       "      <td>-0.006544</td>\n",
       "      <td>0.003058</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2010-01-11</th>\n",
       "      <td>1.4513</td>\n",
       "      <td>0.006984</td>\n",
       "      <td>1</td>\n",
       "      <td>0.006544</td>\n",
       "      <td>-0.006544</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "              EUR=   returns  direction     lag_1     lag_2\n",
       "Date                                                       \n",
       "2010-01-05  1.4368 -0.002988         -1       NaN       NaN\n",
       "2010-01-06  1.4412  0.003058          1 -0.002988       NaN\n",
       "2010-01-07  1.4318 -0.006544         -1  0.003058 -0.002988\n",
       "2010-01-08  1.4412  0.006544          1 -0.006544  0.003058\n",
       "2010-01-11  1.4513  0.006984          1  0.006544 -0.006544"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [],
   "source": [
    "data.dropna(inplace=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "data.plot.scatter(x='lag_1', y='lag_2', c='returns', \n",
    "                  cmap='coolwarm', figsize=(10, 6), colorbar=True)\n",
    "plt.axvline(0, c='r', ls='--')\n",
    "plt.axhline(0, c='r', ls='--');\n",
    "# plt.savefig('../../images/ch15/strat_ml_02.png');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Regression"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.linear_model import LinearRegression  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [],
   "source": [
    "model = LinearRegression()  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [],
   "source": [
    "data['pos_ols_1'] = model.fit(data[cols], data['returns']).predict(data[cols])  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [],
   "source": [
    "data['pos_ols_2'] = model.fit(data[cols], data['direction']).predict(data[cols])  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>pos_ols_1</th>\n",
       "      <th>pos_ols_2</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Date</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>2010-01-07</th>\n",
       "      <td>-0.000166</td>\n",
       "      <td>-0.000086</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2010-01-08</th>\n",
       "      <td>0.000017</td>\n",
       "      <td>0.040404</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2010-01-11</th>\n",
       "      <td>-0.000244</td>\n",
       "      <td>-0.011756</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2010-01-12</th>\n",
       "      <td>-0.000139</td>\n",
       "      <td>-0.043398</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2010-01-13</th>\n",
       "      <td>-0.000022</td>\n",
       "      <td>0.002237</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "            pos_ols_1  pos_ols_2\n",
       "Date                            \n",
       "2010-01-07  -0.000166  -0.000086\n",
       "2010-01-08   0.000017   0.040404\n",
       "2010-01-11  -0.000244  -0.011756\n",
       "2010-01-12  -0.000139  -0.043398\n",
       "2010-01-13  -0.000022   0.002237"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data[['pos_ols_1', 'pos_ols_2']].head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [],
   "source": [
    "data[['pos_ols_1', 'pos_ols_2']] = np.where(\n",
    "            data[['pos_ols_1', 'pos_ols_2']] > 0, 1, -1)  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "-1    1847\n",
       " 1     288\n",
       "Name: pos_ols_1, dtype: int64"
      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data['pos_ols_1'].value_counts()  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       " 1    1377\n",
       "-1     758\n",
       "Name: pos_ols_2, dtype: int64"
      ]
     },
     "execution_count": 25,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data['pos_ols_2'].value_counts()  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "555"
      ]
     },
     "execution_count": 26,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "(data['pos_ols_1'].diff() != 0).sum()  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "762"
      ]
     },
     "execution_count": 27,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "(data['pos_ols_2'].diff() != 0).sum()  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [],
   "source": [
    "data['strat_ols_1'] = data['pos_ols_1'] * data['returns']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [],
   "source": [
    "data['strat_ols_2'] = data['pos_ols_2'] * data['returns']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "returns        0.810644\n",
       "strat_ols_1    0.942422\n",
       "strat_ols_2    1.339286\n",
       "dtype: float64"
      ]
     },
     "execution_count": 30,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data[['returns', 'strat_ols_1', 'strat_ols_2']].sum().apply(np.exp)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "False    1093\n",
       "True     1042\n",
       "dtype: int64"
      ]
     },
     "execution_count": 31,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "(data['direction'] == data['pos_ols_1']).value_counts()  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "True     1096\n",
       "False    1039\n",
       "dtype: int64"
      ]
     },
     "execution_count": 32,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "(data['direction'] == data['pos_ols_2']).value_counts()  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "data[['returns', 'strat_ols_1', 'strat_ols_2']].cumsum(\n",
    "        ).apply(np.exp).plot(figsize=(10, 6));\n",
    "# plt.savefig('../../images/ch15/strat_ml_03.png');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Clustering"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.cluster import KMeans"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {},
   "outputs": [],
   "source": [
    "model = KMeans(n_clusters=2, random_state=0)  #  <1>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "KMeans(algorithm='auto', copy_x=True, init='k-means++', max_iter=300,\n",
       "       n_clusters=2, n_init=10, n_jobs=None, precompute_distances='auto',\n",
       "       random_state=0, tol=0.0001, verbose=0)"
      ]
     },
     "execution_count": 36,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "model.fit(data[cols])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {},
   "outputs": [],
   "source": [
    "data['pos_clus'] = model.predict(data[cols])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {},
   "outputs": [],
   "source": [
    "data['pos_clus'] = np.where(data['pos_clus'] == 1, -1, 1)  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([-1,  1, -1, ...,  1,  1, -1])"
      ]
     },
     "execution_count": 39,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data['pos_clus'].values"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(10, 6))\n",
    "plt.scatter(data[cols].iloc[:, 0], data[cols].iloc[:, 1],\n",
    "            c=data['pos_clus'], cmap='coolwarm');\n",
    "# plt.savefig('../../images/ch15/strat_ml_04.png');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {},
   "outputs": [],
   "source": [
    "data['strat_clus'] = data['pos_clus'] * data['returns']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "returns       0.810644\n",
       "strat_clus    1.174783\n",
       "dtype: float64"
      ]
     },
     "execution_count": 42,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data[['returns', 'strat_clus']].sum().apply(np.exp)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "True     1071\n",
       "False    1064\n",
       "dtype: int64"
      ]
     },
     "execution_count": 43,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "(data['direction'] == data['pos_clus']).value_counts()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "data[['returns', 'strat_clus']].cumsum().apply(np.exp).plot(figsize=(10, 6));\n",
    "# plt.savefig('../../images/ch15/strat_ml_05.png');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Frequency Approach"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "metadata": {},
   "outputs": [],
   "source": [
    "def create_bins(data, bins=[0]):\n",
    "    global cols_bin\n",
    "    cols_bin = []\n",
    "    for col in cols:\n",
    "        col_bin = col + '_bin'\n",
    "        data[col_bin] = np.digitize(data[col], bins=bins)  \n",
    "        cols_bin.append(col_bin)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "metadata": {},
   "outputs": [],
   "source": [
    "create_bins(data)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>lag_1_bin</th>\n",
       "      <th>lag_2_bin</th>\n",
       "      <th>direction</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Date</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>2010-01-07</th>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>-1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2010-01-08</th>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2010-01-11</th>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2010-01-12</th>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>-1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2010-01-13</th>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "            lag_1_bin  lag_2_bin  direction\n",
       "Date                                       \n",
       "2010-01-07          1          0         -1\n",
       "2010-01-08          0          1          1\n",
       "2010-01-11          1          0          1\n",
       "2010-01-12          1          1         -1\n",
       "2010-01-13          0          1          1"
      ]
     },
     "execution_count": 47,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data[cols_bin + ['direction']].head()  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "lag_1_bin  lag_2_bin  direction\n",
       "0          0          -1           239\n",
       "                       0             4\n",
       "                       1           258\n",
       "           1          -1           262\n",
       "                       1           288\n",
       "1          0          -1           272\n",
       "                       0             1\n",
       "                       1           278\n",
       "           1          -1           278\n",
       "                       0             4\n",
       "                       1           251\n",
       "dtype: int64"
      ]
     },
     "execution_count": 48,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "grouped = data.groupby(cols_bin + ['direction'])\n",
    "grouped.size()  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "metadata": {
    "scrolled": true
   },
   "outputs": [],
   "source": [
    "res = grouped['direction'].size().unstack(fill_value=0)  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "metadata": {},
   "outputs": [],
   "source": [
    "def highlight_max(s):\n",
    "    is_max = s == s.max()\n",
    "    return ['background-color: yellow' if v else '' for v in is_max]  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<style  type=\"text/css\" >\n",
       "    #T_2ba292be_cff7_11ea_8ed0_f45c89be95ebrow0_col2 {\n",
       "            background-color:  yellow;\n",
       "        }    #T_2ba292be_cff7_11ea_8ed0_f45c89be95ebrow1_col2 {\n",
       "            background-color:  yellow;\n",
       "        }    #T_2ba292be_cff7_11ea_8ed0_f45c89be95ebrow2_col2 {\n",
       "            background-color:  yellow;\n",
       "        }    #T_2ba292be_cff7_11ea_8ed0_f45c89be95ebrow3_col0 {\n",
       "            background-color:  yellow;\n",
       "        }</style><table id=\"T_2ba292be_cff7_11ea_8ed0_f45c89be95eb\" ><thead>    <tr>        <th class=\"blank\" ></th>        <th class=\"index_name level0\" >direction</th>        <th class=\"col_heading level0 col0\" >-1</th>        <th class=\"col_heading level0 col1\" >0</th>        <th class=\"col_heading level0 col2\" >1</th>    </tr>    <tr>        <th class=\"index_name level0\" >lag_1_bin</th>        <th class=\"index_name level1\" >lag_2_bin</th>        <th class=\"blank\" ></th>        <th class=\"blank\" ></th>        <th class=\"blank\" ></th>    </tr></thead><tbody>\n",
       "                <tr>\n",
       "                        <th id=\"T_2ba292be_cff7_11ea_8ed0_f45c89be95eblevel0_row0\" class=\"row_heading level0 row0\" rowspan=2>0</th>\n",
       "                        <th id=\"T_2ba292be_cff7_11ea_8ed0_f45c89be95eblevel1_row0\" class=\"row_heading level1 row0\" >0</th>\n",
       "                        <td id=\"T_2ba292be_cff7_11ea_8ed0_f45c89be95ebrow0_col0\" class=\"data row0 col0\" >239</td>\n",
       "                        <td id=\"T_2ba292be_cff7_11ea_8ed0_f45c89be95ebrow0_col1\" class=\"data row0 col1\" >4</td>\n",
       "                        <td id=\"T_2ba292be_cff7_11ea_8ed0_f45c89be95ebrow0_col2\" class=\"data row0 col2\" >258</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                                <th id=\"T_2ba292be_cff7_11ea_8ed0_f45c89be95eblevel1_row1\" class=\"row_heading level1 row1\" >1</th>\n",
       "                        <td id=\"T_2ba292be_cff7_11ea_8ed0_f45c89be95ebrow1_col0\" class=\"data row1 col0\" >262</td>\n",
       "                        <td id=\"T_2ba292be_cff7_11ea_8ed0_f45c89be95ebrow1_col1\" class=\"data row1 col1\" >0</td>\n",
       "                        <td id=\"T_2ba292be_cff7_11ea_8ed0_f45c89be95ebrow1_col2\" class=\"data row1 col2\" >288</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                        <th id=\"T_2ba292be_cff7_11ea_8ed0_f45c89be95eblevel0_row2\" class=\"row_heading level0 row2\" rowspan=2>1</th>\n",
       "                        <th id=\"T_2ba292be_cff7_11ea_8ed0_f45c89be95eblevel1_row2\" class=\"row_heading level1 row2\" >0</th>\n",
       "                        <td id=\"T_2ba292be_cff7_11ea_8ed0_f45c89be95ebrow2_col0\" class=\"data row2 col0\" >272</td>\n",
       "                        <td id=\"T_2ba292be_cff7_11ea_8ed0_f45c89be95ebrow2_col1\" class=\"data row2 col1\" >1</td>\n",
       "                        <td id=\"T_2ba292be_cff7_11ea_8ed0_f45c89be95ebrow2_col2\" class=\"data row2 col2\" >278</td>\n",
       "            </tr>\n",
       "            <tr>\n",
       "                                <th id=\"T_2ba292be_cff7_11ea_8ed0_f45c89be95eblevel1_row3\" class=\"row_heading level1 row3\" >1</th>\n",
       "                        <td id=\"T_2ba292be_cff7_11ea_8ed0_f45c89be95ebrow3_col0\" class=\"data row3 col0\" >278</td>\n",
       "                        <td id=\"T_2ba292be_cff7_11ea_8ed0_f45c89be95ebrow3_col1\" class=\"data row3 col1\" >4</td>\n",
       "                        <td id=\"T_2ba292be_cff7_11ea_8ed0_f45c89be95ebrow3_col2\" class=\"data row3 col2\" >251</td>\n",
       "            </tr>\n",
       "    </tbody></table>"
      ],
      "text/plain": [
       "<pandas.io.formats.style.Styler at 0x7fc20f0e4f10>"
      ]
     },
     "execution_count": 51,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "res.style.apply(highlight_max, axis=1)  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "metadata": {},
   "outputs": [],
   "source": [
    "data['pos_freq'] = np.where(data[cols_bin].sum(axis=1) == 2, -1, 1)  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 53,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "True     1102\n",
       "False    1033\n",
       "dtype: int64"
      ]
     },
     "execution_count": 53,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "(data['direction'] == data['pos_freq']).value_counts()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 54,
   "metadata": {},
   "outputs": [],
   "source": [
    "data['strat_freq'] = data['pos_freq'] * data['returns']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "returns       0.810644\n",
       "strat_freq    0.989513\n",
       "dtype: float64"
      ]
     },
     "execution_count": 55,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data[['returns', 'strat_freq']].sum().apply(np.exp)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 56,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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2C8v17x3TRBNvWvC/uGv5bbDLFbTePJpJEwj9QclHLLQNvprQivHFY7B8zFIAwAUTzlbXP7LjrzH7Kt6rnlAv/qP7Ow/JIcx8gBhZeUBUNHqIxhaNNiy77ZKRFS95cKiw8mTxooBJJbECdATCYNCHNLhuo8ZxZ7ALdtqGqWWTUzpWpbscl02+MO72y6d/HhRFwcHYccbYZQDy6yZPIPQHxZN16phFGf8svSzEQZOnrNHXHPfvLCzkz99fOtrqEDKMWbbBRhl/NmXG4c+ikRUVopbuXhvFIEDUtAmDJMxH8FnzJpxbuBSADYd0hpVeUkEQBbT2taG6oKpfkiJlztK4284df4b62slIFVHb2nZhQsm4fpwBgZAfKBERt6l58zdnXZn2z4pXnLKheQv+uf+luO/LtkOhPxBPVh4QjRMjVyiQZwPZDBcGTFUgyoxfEIWYahU9pNKQYAUv8FjTuAGdgS4AwFuH38PLB9/ED97+Jeq9J/DYzr+p+0Z0uYh9ET/CQgSj3JUxx0zE9PIpKe03uXQCAODD+lWWnlsCId9RKtkVbzFN0XjwrLvUPobpxCyzoniudsnt4+LRG4rf+STXIEZWHqB4sqoLRlluV1yumfZkNXf24Z31x9Dji006VGYWp1TNxe2n3oKxRbUApDwtKyNREAU8t/9l/OzT27Ou70XIPTa2bMWL3Gt44/C7AIDmvlZ1G9dlDCu0+Nvw511/x8/X/FbVYnMmaZFjZpS7EuVOSTOr2K614rl10Y2G/fSNz3+86pfwhfv69TkEQq5T6pCaHc+qmIE/LP817jvjN2pnhHRj9mRtkqt6403Mf3ealD95zJM/Fb7EyMoDNHFFKUxo7vWkVD31ZdCTFYny+NVfNuLV1Ufw0krjQ67J14Jn974AQAq71BRUqT3hwnwkJtwJSCW465s3I8iH8qpShDA0dMqNabe17QIAuHXFE95IrKbOro698EX68JwcYrDT/c+EWFQzHwBwFftlfHv2/+Ce02/HRFM+oZ22oaZAU63++drfot57ot+fRSDkKuOLxwIAxhTVotRZDLf8fMkE5tSXDtlzbZaRUP7mSmQDsNXfrjavznWIkZUHKOKK8XqxFciJ72sa16Ou5yie3/8y2vwdlvsOlEBYM5S6PEaj6NEdf0WDT9IrUnq6KcJ1IT6klunqCekMq3xKYiSknzZ/R4whroSRaYqWW0odU7cl8h4pJd8Duf4vnXIhfrnkJsyvnotFtafENJdW+NZsY27KvZsfNuSIEQj5TEC+N/fXGzwQ3KbKc8XIMqeR/Hzxj3DP6bcb+uPqW13lMsTIygN4teGt9ey8QFdq++C2J/BZ82Y8ueuZtI4hEtFmFk670djTexaUZGOH3ILhtbr/4LPmTTHHUx6GgNHgIgwP6nqO4k/bnkx6I9zWtgu/3XAfPmlYY1gf5KUcPxvF4P4tj6FXJ5mgCIUmIpnsiRV22hZTuWvFuKIxMeu2yh43AiHfCfEhOBnHkPSiNYcLd7TvBgAIumhNkb0QTsahTnoYNY8rP5q0EyMrD1Bympg4vdis4uWeOG0KBko4qj20ErXvUY0seUzx8q226nrFkXL44UWYD+PBbU/gUM8RvHX4vwn3Vfpb7mzfo3t/BKtPfAYAKHOV4rhXam0zv2qu4b2VrvKYmbBG5goqGJrBw2ffbVjXEejM2OcRCENJkA/BxQydtuEPTv62YfmGT241yDmYK38vnnQeAK3dT65DjKwcZ0fbbuztPAAgvifLCkcamnnqCes8WYKQwMiSZxd2OrGruS3Qrh3bQsSUkL/s1/WwVELZVvgjAfgiUuhPybUAgNUn1qmv9Qb9nMqZ6uvRhTX47bIVMVWtipdpZsX0AY4+NRiawS+X3KSWtZNKQ0I+E+LD+NeBV3HC24RgNAiXrnlzppkzalbC7eYcZC0VhRhZhDTwmq4xNCtXNrG6Cqd4pLsaJBKNb2Tp4+eUyZMVD6W/HGDUOSLkP/ry6iJ7Ydz9FA8VIFUIKiiGl/5Yk0smGDoHTCwZr+b/AZqRdtOC/8W1J12NSyZfMIgzSI2xRaOxdPRCOBkHaRpNyGveO/oR1jZtxANbH4Mv0ofSBLpxmeDL0y6NWbe0VpKM+MKUiwzrlVyxSJ4YWUSMNMfpDHapr88dfwYmlozDlNJJSd/nSHPSYqrhQuXB50jiyWr0NWvHznLPRUJ60RcyJJxt6i4jfQ6V8p4Z5dPUsIGdthta2SjaWD8+5fs42F2HSyZfAFEUwdAMFspVgkOF2+aO8agRCPmE0qBZiSrEkwvKFOdPOAvvHPnAENWYXj4V18y6wjCZAgDl8fPG4fewqPaUoRzmgCCerDyCoRnMKJ+WUtjQQTukpOL198EXGryWT1jvyTIZWXp3Lo3UPFl6iCdreKEXB00URtP/7vr9lIbo+vBggd2N2bplpZXUjPKpuGzK50BTdFz16EzTE+pFR7ALERIyJOQpZsmEqn6K+aaDe8+4w7AsimKMgQUAHUEp/7E71BOzLRchRtYwwZyD5WDs+Nue59AW6MCGE9sHffxwROfJ0oULzaW2tOLJsjCyrp93La6ZdUXM+gjxZA0r9N4rxfCwUvbXGyW8TrC2ydcCB23H1LJJ6rploxdjlLsCD13yW5xSNTcmhJAL7E6iUk0g5CrmAhK9IO9QYX5miHGKplKJ5OQSxMgaJpjLbfUPrXQUuhpzsrT1XQFjib4m4RAbLpxdwaq93/SQxPfhhT5cGBEi8Ef8+NGqX+CR7X9R14uiiKf3Pq8uK+HCYDSE5r5WjC8ehyq3FrI4SfZijS6uxnfmXmNoLEsgEAaHWfJkKOQbkmFOeFeYXzVHNQrzoYdh9r9JQlow/1Eo7UUAWLpc+0swbJ2TdaTVWLqufJZV6IaiKMsecSRcOLzQ59gd7T2OW9bcAUEUcKBbqzpUdLAUFMHdnlAPRIioLaxCob0AV8+8HD9dcH1aruFMcRX7FQBAX4S02CHkJ1HRGOquKhj6cKGeInuh2oHBilOqTgZgLJLJVUjiew7Tn55+iR5CT25+Do+de9+gxhIMa3+EeiOLos3hwsR2u77abHHNKdjcup2EC4cJO9v34tl9/zLo17T62y335WV3aIWrHOXOUhzpPQ5AM9AUj+fyMUszOeS0ML5Yko2Id64EQq4TFaIoshfi16f+DE2+ZkwqmZDV8dww7zpDNbEZpcIwH7SyiCcrh1nftFl9HU+IVCVz2osAgN4+7WLW52SZE5vpOJeUvpfcwup5AIDTxiwGkD96J4TEPLX774abXiKDW5k5Ty6ZAIa2QYQIQRTU0HG6dd4ySU1BFQBgZcNa0oeTkJdEhShstA1F9kJDE/Sh5ralN+Nr07+o9k+Mh1I9nw/PjhFrZG1r22XZU68/8AKPOzf8H947+nGaRmVku9xiAEDKM4tCewHmJhF36y/hCI8Ne1tR4LTB5WAMRlaEN8fyrT1q/8Nerr7+9klX4+Gz71a1jQI8KX8fjpiVmu06w0nxZNloG2zyBCIq8KqRZh+CvmnpQt9Ad1PLtiyOhEDoP7zAoyfkQamjJNtDwejCGpw9fnnS9AAH8WTlNu19nfjbnufwu433D+o4rf52tPrb8Z+j76dpZEYmlYxXX1835xsJ91WSBBfVzFeF5PTeI3MD3v5Q3+qDLxDBsjm1cDtthnChOWGy0F4IXhDg0Xm+HjnnHiwdvVBdpigKDM2oD6dAJDDgsRFyA73uGQB8b+63UO02au3oGy4rOVgMRauSJFEhqnmy0iymO1R81rxpUH9rBMJQE4gGwYs8yl1DK0A6GJRwodJQOpcZkUbW3sbjaTnOXZv+mJbjxENRT//GrCtQ6ixOuK8uS0rVOIlXIt9fenxSCKSqzA2aMlYXRvjYhMkXP6rDTx5ZizFuKVelvSeIv//3APxB477HGyXjigg55j+v6zoTAFK47/Sxp6rLo9yVBuND0eVhaJtaJMGLmifLmUTMNtf4hixN0uBtxKeN67M8GgIhdYK8dH+3qvzOVbqC3QCAfx98PcsjSc6INLKe/2TgulFcVx2afC1pHE18lMT3VIThvjj1YgDAktpTLPc3e5xShRcEfLLtBADA7WBA05TBkxVjZLkr8bG8/5kFV+BPZ92FR1/bjdU7mvDeRs24PdbiwZ9e2gNRoOCPEk9WvqPvPagwv2qO+pqhGIOhr1yPDEWDkScTHxxfqeZY2PPMkzVe7pkIkD6GhPwiJBtZQ9mvcLAoYwaAf+5/CZ057NEakUZWUenADI69nQfw8I6nMu7BUuB1D6JknDH2VDx89t2YVDIBoyyMrIF4slq7/fjufatwoF5S1qVpCjRFmRLfjcfV56cEQlHYGTt6fdKD0x/SHj7HW7wAKFC0iGOeeoPkBCH/UIyiGWVTYaNtGF1UY8irYCgavkgfGryN8IS9CMqGtZ22q7/9Jw1rNE9WHuVkAcC44jE4c+wyALG5aARCLuOXtabcTPxqvlxDr6G3oXkLVp5Ym8XRJCaphAPLsrUAfg9gHsdxiy22uwDcD6ARwHQA93Acd1De9g0ApwDgARzmOO7PaRz7gAljYNoaj+98Wn3dH3mFgfJh/SoAKVQWyihhF2tPVv9n12t2ynk2lABmVCNAz4jxZCXykLX3SmFAs9p3W08AgZDxfatOrMO0ssn9HiMhN1BkOL4+66sod5ap12KRvRDlzlI0+JoAAPdsfggAQMkSubWF1VKpdkgStVXEBdPde3MoUCqihuLeQCCkC6+sNVXkGHqV94Fy7vgz8Mbhd9Vl/eQ+10jFk3U6gDcRXzj8JwDqOY67G8CDAP4GACzLjgPwMwA/4zjuVgDfYVl2+uCHPHj6ot7kO8m09LWhI9AZs34o+5T1V33XwThw/bxrDesG4smqqZAuXNuYw3BM3ouNno8kI8vCkxXtrEVw1+k43uJFkVvyanT0SN4Kpe8hBaCx3YcVT67HSyvrDJ+VireOkLsoRrydthuEaO8+/df4+eIfx5SFK4UaJY5ifFdX1PH+8U8A5J8nC9ByKImRRcgnfGHJyCrWaRjmOgzN4KKJ56rLuRyiT/pk4zjuFQCJrJJLAayX990NYB7LsiUAPgdgK8dxyhN5PYCLBzfc9BBSPFli8hvi7zbej9+svzfGG+MNa1/JOF0+RiYYSIuDkypn4ven/VJVzR1ITpYoCnBM2w772MMAgOZQPWiKQl8wqlYPRmUJB8FTCTFYhDuf3ay24OnoDaKusVddpkChscPai2jV246QPyhVgXaTvhVN0aAoCtef/G3L91W5R6G2sAZzR802rLfnWeI7oE0UiJFFyCd8ER+A/PJkAcbx6nO0co10KL5Xw2iEeeR18dYnpLy8ADZbauGxgcLT8g9CAUwRj1EFyXMo3KVGQ+eP2x5XX1MMUFWVuPpvMFSNKkFVcf+PX4VijGovA1qBkjInqsr6d4x6cT+YilZ12S/4IAQl4+qOZzfjn3dchObuPukqEqXvRwQQkptJR3gBBxq03oZrdjXhtPnWInOiTUjbd5jJ3yIXyYXzpRjJSB5TU96vpPXZEycBAGpLK7G7Q1tfUupEVaX1eeXC+VpRFpD6KRYUOdI6xlw930xBzndo4eulCdL46mpUlWd+LOk637JezfNG2cSsf4/xSIeR1QZAf3Yl8ro2ANNM640xIgu6u4eg4SOleXX2Hj+K2aOSPxS4E/WG5d6QZj+GI1G0t6cegkwFvWentzsAe3Bgxw8HpXNt7/SgINK/Y/T5Y6UVevh2AKXo8YbQ3u4F19AJx2QAQmw0ORjmEdG14wlHBby/3jrB3R8IpuU7rKoqTvtvkcvkyvn2BQOgQKG7MwCKspbk+MPy2/DIjr+guU8y3C+YcLY6diFsvH4Ko6WW55Ur52uFzytNQLp7vfj3tnextHbhoBtZ5/L5ZgJyvkNPm0eqzIv0Ae39SKUZCOk8X69Xq0rv9fdl9XtMZOANKBGGZdkKOSQIAO8AWCavnwtgJ8dxHgDvA1jIsqxy91wG4L2BfF66EXVG1pGuprj76XV9EomeCYPQoIqHvgO5OQTTHxShx4HkZNkQW9JLMaY+g3LvQlGMvZQ8fWFEeGPoZNN+o8p+tG0cAGBW5Yx+j4+QO0SECOy0LaFSc6mzBPNkWVYG9kEAACAASURBVIfRhTW4aJKWU6FvGP2Dk7+tXrf5hBLWf/vI+3j10Nt4kXstyyMiEJKj5GQV5VFOFmCUjcnrcCHLsmcBuAbAaJZlbwPwAIAVALoA3APgIQD3y9umAbgOADiOO8Gy7P0AHmRZlgfwV47jDmXmNFInHI2AokWIUTsoWwT1vfE1r8KCplquVD1ZwWcgB0N/zMEYWYyuZUl/aevxA+aqXkbzTHn9YVCUPE7R+uHa2B6/kpOhKfC9VbBVn0i5gpKQm4T4cEoVgZdMOh+VrgosqplvUHXvDXnU19PLp2ZkjJlGyclS8tP2dR7M5nAIhJTwRfrgtrnybmJzctVJuGTyBXj36IfY18mhN+RBqTP7rYHMJP1WOY5bDWC1afWtuu0BADfEee9zAJ4bzADTTSAiGU5i0A2qKILugCfuvg9ue1J97Y/GN7IykegqGIysgV/8NkVNO0Uj68Pjq9DgbcS3T7oaR5p7pFCgDkpnZD3+xm7QpXIijYUnCwDczvjG08WnTsS7+6TQ0WAU6QnZxxfpQ7E9eeIsQzNqY3A9X5x6CQSI+PrMr+ZlZSGgyVIoBElPTkIeEIgGc1oCIR40ReNS2cgCgBcOvIozxy1Do68ZF048J8uj0xhxdfPFTjdGCdMws3guACAQjsTdV9+PzS/317NqopkJA8EX9qmvBzPDUD1ZYmolrm8cfhdb23ZiT+d+gIqt+Css0C6ZQ14OTKkkb3H6nP5VWN7w5bkoKbCrHjBSXZi/NHib0BfxD2oWOaaoFjfMuy6vhTyHUtaFQEgXYSEMxyCiJdlm+ZglAKTn9eM7n8abh9+DV/f8zDYjzsiiaRqP/8/NuGqBZOkGRJ+qeJuIPtmTdfXMy/Ht2f9j2JZuT1aID+P29feoy8k6kidCzcnqZ7jwyV3Poqw49g/vwqVadSDl0GbqE6vLDfsxtDTmYNj6c6vL3XDYNS9XJkKuhPTy1uH/4s4N/xdzvb995L8AgPMmnJWNYeUMJ1Wy2R4CgdBvInwkbxuyA8AVM74EACh2aDllK9beif2dByGKYtYlVUackaVgZ6QHfJDpxC1r7ojZbv5hFE+Wg7HHzNj7In60+2MFSweK3ug7pfrkQR1L82T139vmsMcadxTNqwYUIlpivHkmNKpUSubSt9LR43IwcNhoNcyYieIBQnp5//gnaPW3x+Qntgc64GAcI97IsMpJU3oxEgi5iCiKCAuRvNSlU7DRNjgYB+q9jYb1a5s24LkDL+P+rY9laWQSI97Iiof55qg8WOy0wzJ+fceGe/vtLYqHPkm9wDa4flL9zcnSh2vae2M9fGEhAl5VfNdCfAxtvJRqKqTS9WAcI6vQZZc8WXK4UCDhwrzBPAEJ85GU8rFGAqMLawzLr9X9J0sjIRCSo4S489mTBUDteaqHF3mc8Dahta/N4h1Dx4g1smwmI+uf+14yPDza/O2G7Uriu4Oxx00S9EbSEwfmdflTS2oXDupYiicr1bwxRZ0dACh77IXb7u8AaPlYupytckeFYb/qcuk7CsQxsgpcNtmTpRhZJFyYiwSjQTy3/2VDA++IoOUxNvqa0RPqRWcwvsTJSOKnC67HrYtuVJfb/B0J9iYQsotSQZ/POVnxcNAOnPA1IZhleYcRa2SZPVkbWrbghFfTzFp94jMAUGfoioCig3agwG7tXeqL+OGP+AdtMER0XqdxRaMt9/lgUz0efmVX0oRxxZN1uPdYSp8djmifbas9HrN9e/tu2CfslxZkI+u0kotAmyQYqsskI8vrj19Y4LAzEJMYWYIoYs3OJvT4clcHZTizqWU71jdvxquH3lLXheVm0P6IH3/Y9GC2hpaTFNjdmFgyHj+a/z0A2sNLEAV0B3ti9t/Rvgd/3/cimWQQsoLS2L0/XRryha1tO7M9BAAj2MiiaYt8I12CuTIzN4tkOhg7nIyWi+RiNINrbeNG3LLmDtw1yAeP3pPlihMufPGTOuyo61CbL8eDkRPfNzRvMVRLxv/s5Dd7ZpRsjMoaWQxNx3isaiulcKEyvgsXj485jsvBQOk7Hu8hs+twJ5557wDue2F70nER0o8/KuUi6vMdFE/Wyoa1WRlTPjC9fAoATcbhXwdexW2f/QH13hOG/f6y+x/Y1LINH9WvxpYWco0ThhZF082RxzlZAHDG2GXq6y9MuSiLI4ll5BpZFhV7ep2bMC8pWJ8z/nTDPg7GbmjYPL5Yky74tFHyfrX0tWIwKDlZ+i7j8RCEJJ4snYfJE0redkBEciOrICLnncieLBvNwO2UjLlClw1//OFylBQY/2iXnVQbexyXLWm40B+UbgItXUPQbokQQ3co1vui5XFov/GN8787ZGPKB2iKhpNxIBSVPLCfNW8GAHBd1p3F3jz8Hp7Z968hGx+BAGhe6XzPydKHO4tzrNH1iDWyrNDnLUWECBy0AxOKx2FiseaFMVv8g1Fjj4fiKUhFH4tPYmTpldSdttg2OWZEiocQKITg0xLgb110I66Uy2QBIMLzoNweOCZJYUMbZcO0saX4/hdOwu++sxRlRU6DPAMAFLm17+kvt54NQEp+V42sOMadYrwRskOPRYhLCTEU6tpwzKyYPmRjyhdcjAsBOR9EmZi9cfhddUJhFeo/2nscK9beiXrPiZhtBEK6iSg5WXkqAKxQYNfypHMtv4wYWTr0AmZhPqLGqZW8JpqiwdBG48FcVZcOlEqJVJSveT6x50lvvKSU90EJEKN2CAHtATqxZDzOHHca/njW76XxRXk4pu5St9ttDCiKwtLZNSgrkgw5ZwIjS/nOnA5G9R7GC1PaGHKJZpOeUGxHBCXEIMq/2ewRLt0QD5fNhWBUChe6dCkGvSEPRFFE1EK89OVDb8Eb9uEtWXuMQMgkiidrMF1FcgF9H8Ncaw80op9gwZ1nQAgWqMtP7HpGNbQkT5ZkGCjeoGKLBppUBr5CRT4ildlFMk/WzHLNw5BMxoEXeCkEKNAAHzsbUL6PsVUFoASde9YZW23psNMJlwEpZKskvgdC1gnyVmFdwtBhVZnT3Cf1+1wth8eXjY5tk0MAXDan+v0puW0AcNtnf8B/jn5gqNJUUP729SkJBEKmUK7BfPdk6Y0sKsf+dnJrNEMMHSmCGDYmlq9Yeyda+loNnizFy1Lh0mQKppZOwtii0ajrOTKoMaxsWIs9HfsN60KqJ0ub/YYjPO5/cTt21BlLwqPJwoU0g6tPlkJ9yQRJ1e0iA1GI1RGjKAoUKLhdDNgxVer6Akdscr7Dpr3/l99YCIqi8JOvzcMd3zY9kGUj60hzr+WYSLud7KKEBvVsbt0BQRTUQopyZ9lQDysvcDMuRIWopYbPf499bNmGR8nnJJMLwlCg5AxmIu1lKClxakaW/m/HwTjw41O+n40hqYxoI+vBG08HZY+dqe/pPGDwZPXIyb8VLu1hctOCH+AXi39imKHqCUaTSw74I368cugtPLHrGcP6sIUna0ddB/Yd646RbUgWLgT0gqSJe6upM2uBhtA5GrNL5+A3p95i2IemaBzpPYaDnoPquhm1sUntNka70JVKw5OnVmJCTbFxR9nI6rbXWXraiEhpdgnrvC03L7wBNQXV6Ap0qeK8Ve5KTC6dkK3h5TRK2OKBrY9bbrfyZCnwApF0IGSeo556AEBNQVWSPXMbfU9hfVrMPaffjhnlU7MxJJURbWQVue1w+CykBRgneJFXrfvesFSVp1dDpygqYU/B+7c+mvTz40kqhOQQQ7ycLL3hkSxcCGg3+6SeLNkIczkc+OuPv4gbFn4T1aY/Pqswht5Vq6D/bhgLuQwFJVwIWOuapHB6hAyiNwQmFI9FhasMYSGC7W27AQBTSidlaWS5z7LRiwAAJ3xNltt7E1T71hZWZ2RMBIKePR374WJcmFY2OdtDGRRFulQejy63OpW85kwzoo0sACj0zALVNs2wTtGWUspaFcu4Pwl1zSnIODT6WizXK8mI+gtEb7REo5rlEUmikwXoVN+T5GQpRhYjxm85ZA5jjC0cG2dP3ecnMLKgM7Ks+ryJxMrKGoIoqNfE2KLRao8wAPj3wdcBAEyO5T/kEtOTzKDbA/HV4HPh4UAY3gSjIXQEuzC5dELOJYv3F31BmlJskivk9zebBlx2G7r9hQZrMyooFReSkaWE5/qTJTHKXZl0H1+kz3K9VeK7/rOjulCC15+8Aa0SLkzkyRJFEb1+6eIMhOIbbmZl96/OuCzp51sJv6pEHRDDTlCOkGW1FQkXZg8lZ2h2JYsb5l0HAGg1tZui6cQ9QEcy+opCK/65/yUAwNLahdjYstWwLZqmPqgEQjyU549VJCIf+dbsqwAAVe5RAIBzx5+RzeGoECPLwSDipaC/HQZkS1gxckS5EXKi8KCZVGLcVkYFL/CqqGm82Ww4ohlBvX2pGFk2+djWOVlRXsDtf9uE1mAzXHMAPhr/PM2erFR6IiYyshax1dh2dA6c7FZLTxZxZGUPJeldrztjFtolnqz4mOVe4nH+hLNwwtdkSB+IionzJwmEwaLKi8TpKpJvLKldoL6+5/TbDSHEbDLi75AOOwMxZJQgUGQczNohlIUvK94swKpyyEzYIvG1J6RV2TnjzIRvfmydNtYEvQEVlGbY8TxZfYEIWrr8oGzSmPV5UmZo0yUzoyx+SGTxzGoUue0JK6WWzq4B5ErGqMX3kUzRnpBefOE+fHh8FcJ8GL1hSSPLrhPgXVg9z7A/QxFPViIml0xMuk+JoxhX6MR+AeLJImQeZYJsG4be6GJHUb+cIpmEeLIcDER/KaKdtbBVSjlSnzSsARDbNFPxaOm5eeEN+Df3OvZ1cYb1VgaDGavyeL03R/GkHW/x4vE39lgew9MPT5YQ58bdFfDAvUQTP6QL4ifk6hPfPzfx3ISz9R98aU5SCQaaptS8rOMWKtfRFKonCenjhQOvYGfHXnQFu/Fp43oAgIPRbhPXzvk6tn6iFSjkspEliiLW7m7GjHFlqKkosNynyxNEodseI56bLgK8lh9y7UlXY2rZZPxq3V2Gfdw2F6aUTsSlky/AhOJxeGLXM0krgQmEwaIY8jZqxJsBGWXEe7KUUBbfGjvjdMvNn5WwnZUswyh3BRbXnmJYZ6dthhJsb9iHN+rehS9szMGyKuEO6JL2FE/ao6/titlPITUjK7Ena1+nyUBsi624VNAbWWeNOy3pZyebTTA0BVGQjmk2VAHgb+9oGmKkrD3zKDlXB7oOqevMGjp6b1Yuhws/3HICz7x7APe/aN142ReI4GePf4b7/5W5xsxKSOaUqrlYWDMfZc5SfHfuNw37MDQDmqJxyeQLMKZIkkOJEE8WIcPwckg61bA2YWDk7h1yiPDJ4TbBV47ltUajQenNdu74MwEAbIWxClFBr8MxsWQ8GIqBoDNo3qh7Fx/Wr8KTu57FnRvux/5OSWMqYFEFEZB1ty6bfKFq0CyaGb+cOxRJfjPWcrKs97XDGC4VvOVxj6WE/qaVTUapsyTufqkiebKsL0PzuemrKgmZQblWPGHNm2kOky+s0YysXE18D4SiePHjQ4Z1oiiitduveleVfMbDTbGtg9KFYmTp5V9mlE2Ju7/6t0pysggZ4EjvMexo34MwH8ZD25+SVpLioowy4v2EHl113oVjPgeHncbKhrUAtG7el0w+H0trF6KqwLpiUH8DvXjSefjHvn8bevH1RSXhxqOe4wCAF7hX8bvTfqEKmeq9Q4rhVaTrJG6VC6YQ5VPRyUrsyQpGjN6w6y9bYLmfHnOV4UAx52sJogCaouELRPD467sN2yK8ACdy86E+XKgtrMYJX5OhnU53yNgk2qbzbOVquPDZ9w6or0ePkiZLu4904U8v78Rlp03EV86ciiNN1l0G0okS/tcnFzMJyuWV0A3JySJkAkUYV58Urg9pE9LPiPdk6Rs8R3gBvrBfXVaEOGmKjmtgmRFFETRFG1RnC2xGT5ESBlSMLH3ekmJkuXU35UiCvKRUcpaSebICJiNr0cyauMdSRpquMBFDU1K/RBlFSfzNNUdxoN74cE9FE4wwOArtsblLXUHj7+DQGQm5GC6MRAVsPtCmLofD0nV/6IR0Hu98dhzBcBTPvHvA8v3p5Pp512Jc0RhDaN2mM0xPqpxp2F/R5rNqxUMgpAu9fJD+WUVIP7l3hxxivvf52errKC9iYsk4dbkqBa0rKxiTkaXodigonqmAbFCIEFVDSwkXunWGmdI6x+00eg0opNpWR1F8l0IQG/e1oqNXawcUjPb/hp6uhytNUxDDWhXl4d5jAABfMDZf7S9v78WJNl/MekL6iPCxYaqvzfiiYVlfEJKL+Rxm7biDJ3qx91gXbIx0zYoA/vhvLXnf5cjcOcyuZPGLJT9RveKA8Tu79qSvG/a30TbYKEbt+kAgZJpEkRLC4BnxRlZNRQE+t0RK9I7ygmHG6bIlFhO0QoQUStOHC91mHRI5RKbve6hULibyZJUVGcfDMHTSBtGAZhDxAo+GNh/+/NZerHhyg7o9lT6L6jhlYzBt4UKaAqLaef1l9z8AAE577KV5oL4Hf3xpR1o+l2CNuRjj2pOuxpRSY1GIPhE+WReBZIiimPYm4Ip39/S5o9V1D7y4A/6gZkDWNWqhwlCEz1oj8nj3mKOeerT0tVluIxDSSb43h851RryRBUCd4R5r9oCmaPzm1Ftwu6kxcn8whwsFGL1NNChE+IhBS0sURYT5CD6sXwXAaGQdbfYaxqmNm0otXMhoeR5KhZ6ipM7Vd2PrweQtgMxY9TAcCEpOVqRZ6p01d9QsAICdsTbiAmGSq5IpPGEvNrcaK+2stNr0N+U2kwJ8f/nrf/bh50+uRzBsnegt6Iyw+17Yhj+9uC3h8XhBwO//Iamn22zGa3TfsS7L94ji0EuFuBgnJhSPs9ym5Lwd7T0+lEMijFBOrpqdfCfCgCFGFgC7bLz884OD4Oq7UV1QpSq2d3tDKamqa4hyuFAzBsyzZIqiDF4sABAgGiQMFCNrK9eGpg4pfm42soJhHvWtvqSzcK1iiQcFCpTbA8ohhSrfWncMTE3qN/OgnCRpzjMbKEpfQ75LygOrLZD+/3hbrGYWkFp4lDAw3jz8Xsy66oJRMev04oWD6XkWCEWxfm8rOnqD+GxPbB/PKC/g+/+3Cg+/sguhMI8D9T34eHNDwmN2e0PwBSLy2IxhkEb570hZe82FMzB3ipQSEIoM7XV13xl34NZFN1puu3rmVwAAH9SvHMohEUYgty66kTR5zzDEyIJxxnvvC9vB1XcDAHbWdeDmx9bhpkfW9ut4FEUbwoXmxEIKsUaWKIqG9iVKTtbhRq283MZYx875JCFD5aG4sWUrukM9cM39DK75nwKQHmS0M/XqEiWcaZUgPRDUljuyjEOydiIOW+7lAA0XrCoFrXpw6qtp+UEkzR5p1q7t5k5/zPZOTxC8IGLn4U48kEKYePeRTry97pi6bLPRuHBxrObbozediV9esxDnLBiHQrdkJO4/3j2AMxg4DM3E1ZDzyB0n2vwdEIg2HCFNmJ9Dv156MyaWxNdEJKQHYmQh1kN0vFW6yT30SnwR0HiIkDxVvkgfXjjwirTO5GkK8iH4IyYjy6QmrxhcykPAPM7fXbcEJ0+VHoDJQh3lrlKUO8sAAAd6NHHP5s4+2B3Gz60tjF9ZqKc6hd6MqaB4siALkoblxOs5kyvkPUQU1XQAjORN9IeipGl0hijRJWcrWIWFaYpWDa3BVCbp/y56vLF5ge092t9I3Qkthyqe5/bBl3ZizS6t/19Dmw9XnTc9Zj+304ZpY6XxV5dJk5mtXO7kP80dpYVvnt3+chZHQhhOmCdEhTnS22+4k5KRxbLs+SzLPs6y7B0sy/7GYvsklmX/zrLsrfL/83TbjrEsu0r+93w6B58u7CYPUaErNgTSnx563pCUQ7WuaZP0XpMB5WQc8EeNM/efrr4Nzbrmu8ost8ClebfmyUbVF5ZPwtiqItXoSqaVRVEULpl8PgDgk91H1PW/+stGVIySjJqphSzuXPYL/HzRj1I6x3FFo5PvlAKqTpbcWmdj8xZ8VL8aAaoHlNOPkloP+Ilb4GS3qO/RJzAT0oci1fC/J/8/AMDyMUvi7jtaNsbLBiFIG9GF6Jo6+2K2H40jEuoPxf7+VhONyhIp5H7N59i4Y7h4qZTUv2l/W860cBrlrsD1864FAKyr35zl0RCGC8qEaHLJBNy04AeGildC5khqZLEsWwDgSQA3cRx3B4CTWZY9z7TbnwC8wXHcfQDuB/AP3bZnOY47W/73deQgZk+Wy2HDSyvrDOsSaVUBwOwK6UY+prAmpmJINM0gGn3N2N2xH2Y2tcQm9TK6vJLzF4/Hbd9chM8vnwQAUDaloh+leMYoxviAWn+gXh73aFS6y1WdnniMLxoDIHWPVzKswoWv172DplHvwjlrA668UHJn00XaA1fJuSGkj76IHxtbpITxSlcFHj77blzFfiXu/t+afRW+OOViXDDxnAF/pv5vyuoa3n20C1YRNaWV1O4jnTjeIk1oGttjjbSvXzADAHDOKWNx/iIpydzcw9Chq2L9xZ83wIqjzZ6U2lelk5nlkgduQtnYIf1cwvBFyRMuchRhWtnkLI9m5JBK1uoyAMc5jlP8+esAXArgY90+0wHUy6+PQDLERnEc1wHgTJZlbwVQDOA9juM+S/Rh5eUFsA1B3k1VVbH6uqLC6DblKQr/3VhvWFdaVoDiAkfc49123o3oCfRiVGEFKg6VoTPYrX6Oq1UyXG5e/j08sE5qZbCrc2/MMQRK+iP4wswL1PEV6D6zproENdWa52ALJ1V23fzYOqz41mIsP3lM3PFVlsvvY4wGiigbXdVlZYbvJB53XXgLgnwYZa7Bt9QBANikS1DpX6iHcoQBZ6xBZXfaE441lfMYTgzmfMN8BE9u+icml09Q19VWlaGmqCzxZ6IYU8Z+YcCfCwBP3vOJ+loQxZjz6PaGUF1egNYuo9eXa/Tg3U0NWLezCQDw2r2XYcuhDsM+l5w2CWNGa7lj37hkNrp9YXz3S3NRVWWcwTvsDMIRHp2eIJwFTpQUan9z7d0B/O7vWzC2qhBPrjh/UOfbXxyMHYFIkFzPw5yhON+6zmM44DkMAHC7HFn9jkfa75uKkVUNwKtb9sjr9KwFcCqArQCUGEMJgA4AKziO2yR7xLaxLHsZx3F1iEN3d2wCbLqpqipGe7t2SoE+Yz5Il8UYmls8CBZLHqqjzR7UlBegICasaEe734sym/aAam/3ossjeWF4P41FNfOxpXUHvCEp78ttc6sCpIrDqwRl6vh6ZNHQAqfNMGYz9/x9M55ecW7c8w31SQenHMYkd8WzRUXphMc3QqHdm+q+ienxyd99nP6Fz+18PWZdQ1MvKgutPW7m33a4M9jzXd+8BWvrN2OtLizl7QmDDmT2OwzppDjsNhrhiBBzHr5ABDVlsVWs/3jX6AV+5MXtqjf6lqvm41iLF+cvGhdzvBu+NAeAGLP+0Z+cgXtf2IbDjR7sO9SGjftbsXzOaEysLVaV4xvb+4b8unIxLgQiQXI9D2OG6nx/+cm96utdzQey9h0P1983keGYSk5WGyQvlEKJvE7PzQAqWZa9CcBEAJ0ATgAAx3Gb5P/9AHYAWJ7qwIeKqWNLDcthi6bLSmjjaLMHv/v7Fjzyavyk+K9ON87wP2lYA0DKjVpSu9CwrUCnh+WXFeALdJV7ShjluktnxXzOmFGpJy4qkhS0SzMgHTO2gLJJnqJiZ3okGfqL0y57LS08WfHwBkjLkXj0BSN46u296OxNrWI0KsR6CpOFjNOB8ve0YEYVRlcWxITjBUFEKMzD7bTh2xfPxGlzavHNi6xzq3Ye7sCHWyRph9IiJy4+dSLs/fCG2xgaS+RWUnf9cys+2nICv31WMjp3H+5U9/vJw2sQsMgHyxQumxN+iybyBMJgYCumZXsII4pUnmzrAUxkWVZJNFoO4B2WZStYllViRmMA3M9x3IPy/h9wHBdmWfY8lmUv0h1rGoDD6Rp8uigvdqr5GwDwxtqjMfsoxo6SA8I19MTso1DkKESVuxKlDqN1S1O02rdQYUqpFhvvDUvHLnVq72vtljxZTovWHz/40py4YzCjtkKhNQOSKeuAbdxBAIDb4bJ6W8ZxO2341TULcfMVyZtSK5CcrPi8uuowNuxtxeNv7BnwMTKpAB0K83h5VR16ZQ+mjaFgZ+gY/bOALE7qdtpwxrwx+M5ls+O2v+nyaJ5oh0WngFSwmrAEQlGs3a1VK3r8ETzw76HrOCB5sgIJ9+kNebGjfU/WFOsJ+cfV7OXZHsKIImm4kOM4P8uyPwDwMMuy7QB2cRz3Mcuy9wHoAnAPgNMAXMKy7BYAFQB+KL+9DcAdLMsugGSIvcpxXP9Ep4aIeVMr8fyH8bdHZSPLqrLJChttQ3ug0yDVQFNUjHjj6EJz5BUodWj5TsrnjbV4CJQXxc8RixmPooHEGL10FC3dnJ1M6sdKN1PHlqLZorosHsEQUX2PR1i+TgeaqP35KRcNSmA0GS+trMPK7Y3Yc0RSX2doWmoPxUvK7kpVbYusm+V2amOh4+hK6RmojtrsSeUx6255PDZ99EiTxzDOTOKyuRDmI+AFPm6PyP8e+wifNq7HuePPwOXTP5/xMRHyB0EU8PD2p3DcYxTwTZfGISE1Urqbchz3IYAPTetu1b1+FsCzFu/bDSAvzOZRZW7c87/LsOLJ9Yb1LgeDYJhHtzeEV1cfVqvhkt1jawqq0dzXir/v+5e6jqFsAIxGmr4bukKJzgMWkUOXDnvsTVb/AEoGIz84Kcp6xjsUIaJEmCs8ExGyCOcSJBTB2k5PEIIopmSYKJxSNRcXTbLO60sXnR4p/NUgN/qWPFnSGKO8CLuNQq8vhLv+KVU6luhy71KRURmoJ4uiKCyZVY1N+7VMCGWCc/7Ccej2hbBVLjQJymHMTKN0fQjyIRTShPkingAAIABJREFU1g/GnpCU7/lJwxpiZBEMBKJBHOo5Ylh3yeQLhmSCQNAgYqQ6qsvc+NIZxtLWi5ZIVVePvLYLe452YZeco1HoSmyUVMlK2Xs6D6jr3CZph+llUxDiYz0O+lmr4pmweniY/1gSiXTSSTqtW/WoG0psDI3g7uUQ/MkrT8IpSFaMVPp0GmJt3YlDTYIoQH/JDMU1YJZqiPKiTu9NgCiKuOUJbaIzTlcJuHhWNRy2+Les2//fIrgcAzd+vnEhi69fMAMXLZ1gWH/1BTNww5fn4rQ5tQCAviEKV7vk3yOQIC+rwK7lUpKQIUFPMGos6JpQPA6XTr4gS6MZuRAjy4Re2PPO65aos1nz/asgyUy2yBEb3jOHYX4w71pcMvn8hJpT4SgPhqbA0Ml/qkQzfVGkIArxDa1shgsByaMhBoohBpO7sq0KEwgSeiPGqt1SiA/jP0feR733BG5cuQLvHP1A3eYJZ67qJxIV0O0NobjAODk51uJR21pFeQFrdjUbREGDuipEhqbx8t2X4Q/fOzXm+HYbjUm1g5MVKXLbcd7CcRhfZS3SqFQT9w2RGK7i0faErUVZAagN3wGpNymBoBDijUZWtu/xIxViZJlQclmK3HaMqyqKeSgoMHH6CCoUWbQsKLYbb95OxoEyZyl+vfTmuMcJR4SUQyCJZrI8L8aVSVDGkk0Ub4Yoxv9ezz5FEmbcerAdbUMg9ZGP6I0sK2N0ZcMavHfsY9y7+WEAxnD11AwKFD7/IYebH1tnCMcBUg6V8tsfafLg2fcOGLYvmmnMWaRpCrUVBZg+zlgRnIogb6pUl2veoTuv1VTvi2Tv9V3/3DIk6vAVLilPrDNg7Kuo/zvXN6KPCqQTAkEjyBs9oF6L1BRC5iFGVhyUaqPzF1k30ExWym02sh49514wNKMmtSu9BM1cPEkTPBRFER5/OOVk3kSNoqOCADEs5XhQFqFDF5Od6kIFuxIG0hlZ1dRUwz5XniOVHofCPFbEUece6ejz1fRaVApvH3nf8n1s+TScO/6MjI3r053Nluv/90snoalDuvmbe4U++pMzUFpobfyv+PoC/O3nA1ebT8TUsaVY8fUFeOymMzGuWpsYLZ0teZyjvIguT+alFSrdspEV1IwsQRSwYu2d+Bf3mrqsECWeLIIOc7jQZtEAnpB5Mp+9mWd89eyp4AUBXz1LesA77QymjS1FXWOvYb8eXxgHG3owY7y1saTvC/W5ieeq+VPlrjLcuuhGjJJztszoW/Js3N+KXl/qVWJCgsl1lBfBd9WAHnsEIkR8efKX8Nqhd0DZIphQPC7ryZBao2jtRuCknYDuuWGzpWeMioE8FMnLQ43esDJ7WxI1c76S/XJGix8qSpyq1MJV503HBYu0a84fjM1xYseXGfp2mjFfr7dcNT+No4Xl33VNRQEuWDQeH25pQGAIKlwrVU9Wl7ouxIfgi/RhbeMGLKlZYDDAeGHgYxJFEeubt2BsUS0mllhPLAn5RVAXLnQxLlw/77osjmbkQjxZJorcdlx36WyUFmnGjr5/oJ4jcRrYAlrSKgDMrJhu2DaxZHxMGa0iYDq/StO+Wre7Jel477/+NFTLqtiJEt+7vUGIIe0zz5u0DKdErsA0xwLckAN/fOpDU2dkuRijQOoJXyPcS/4LpkoqSb7rH1vg8fdPqsAXiOCGBz/FDQ9+OrgB5yAtXX40dmghgY37Wg1htGCCBOqKOJ7VdKEXBz1v4ViDkfT9L8bqvVWUpJaEf/OV83HR0glgJ8ZKMGQCt1M6jy2cWY85/RTLOVl9ujCPPlT4x22Po957Ql2ODsLIauprwfMHXsZ9Wx6J8YAQ8g9fpA/rmyRB3StnfBl3n/5rg/4iYeggRlYKxHPy+EPxq4z0Se7jiuL3FFQ4Z/zpeOzc+wwerimjkyfyVpS4ML5G8polMrJ6fGGIUc0zQFEUvnvpPNx0+lWWSfrZYOaEMog6I6vCXmXYvrJhHQDAPkHK2znc5MGnO5r69Rl/fnPgIp25zsZ9rYbldXta8OlO7fvxR+NXG9ozLOGhiI3eed2SmCKOaWNLMctkJDktJEusOGlyBa44Z1q/pCoGw5QxUi7YO+uPq4KqmUKZqOl/Nz6BNzIqDjwnq6VPMxrbA50J9iTkA68cfBv7ujgAQImjKOsSPSMZYmSlQG8cYcdEVUZ6I8tlG1hpvPLcSKbsrnjajjR60BonITwc4SH609TUOUPcevUCjC7XZls070aZU0tw3ty6DQBAidp3q+gtpcohU9h3OKGECheryeIidnfthCfsRV/Ej3pv45CMo7M3iI+3njAY/bwgoqrMZZBk0FNbYfTsnjZ3dEbHOFBOmqwZgzc9ug4HE3R+GCwMzcBtcxkkHBJVEA4mXNgX0e4bAsntynvqdPpYzgE+fwjpgRhZKdAZJ8l15bbGuLNZvZFFUwP7mrfI4ofxkn+140tG1sOv7sIv/rzBsu1MOKIlvucyjC45MxgScNvSn2Jq6STDPpTO27X5QFu/HnSVJbn/HQyUoJz0PqpUOke6rA2HmNV4dMdfsWLtnfjbnucs3+dIsbK0tdufUlXnff/ahuc/PIjXPz2ihrd4QUwoQ6L3XP35Z2dhmqmfaK7A0LTOiAXueX4b/vkBZ5BSSCcFDq2BPJDYkBqMJ0v/3kS5e4T8oEiXjqLvIEIYeoiRlQI8Hz8M986G45brzT0KB4JSdZVMLsKcBPyjh9bg3Q3HEQhF8Z78/6YDrQAoXFxxNX699GeDHlumoHVGlp22wW1zq82tFSjRGEpq7UpdzsHsMUkHJ7xNaPIlz5/Tk84Hmccfxi+e2oBV2yVPVXGBZDRRTunh3OhrTvh5qVQVdnmC+MWfNySs6mzt9uPlVXVo75EmJe+sP441u6SqQp4XEl7HXV7pPUVue7+aO2eDy882Vr2u3NaIVdv7F7ZOlU5/NzqD3aj3SLlXmfJkRXnNyEoUkiTkByVOybD6/txvYUxRbZZHM7IhRlYKmHOd9PkfPd7knqxMY/XwemvdUXy0pQEvrzqMXz6xTu0VN7d2Kmot+iXmCvoy4wXjpIeZ+bsUnF7QJR3q8jMmbaVEWOXu+AIRfLCpfsDeiLs3/wl3bfpjSvv6In24f8tjuHHlipiWSltatmPF2jv7bbC98OFBg6GpabslU/l3YMXiH+OyyRcm/YyfWfTxM3PfC9vx3oZ6wzrFyyh5suKPp8gtjfnUk+IL8+YK1WVuXLpsomHdgfruOHunhwe2PQ7AaACNKaw1tOAaTOJ7RNC838STlf8EokHQFI25o2ZneygjHmJkpYA5n1wf9VAeDmZoisZV7Jfxw/nfGfTnJ/KkAdbq8y47o3q46uQH3clTKzGxNrcrTPQJmnOmWMtcAIBz5pYBHT9iISL56Gu78eIndfjufasG1ZokFU/CfZsfwVGP5P00N259Zt+/4A37UjbYFA6dMOaZzZs2CuOqCoEkpzKnchbGF49Nm3xHt8WEo7aiALwgyKK68T1UXzlzCq65cAaukLXQcp3Lz5qKOZMr1GV/hlXgFaFRvSFVZC/EXct/pRrJAw0XHvc04N1jH6nLH9WvJsKmecxbh/+LI73H4GZcWZfmIRAjq18smVUNmqLwA13JeaLn2Bljl2FWxYxBf24ikVEAlqr0TgcTUxWZLLcrF3DYNINRuUGE+cS94sZXWydTW2FsOyO9rtMZKYoeWjAawpO7nsXeztS9ZEc99Un36QxqmkcDzdUzY87B8wnduPwLhThn/riE7ytypP69pYKVpyoU4dHc4YcgiqgqdVu8S6LAZcc5C8b1q1F4tvnplfPx9Ipzpb6b4cwbJVEhakhKDwsR0BStenoHGi68b8sjhuW9nQfwUf3wkzgZLoiiGNfb6Av34f3jnwAACRPmCPlzR8sBasoL8Nefn4NTZmg5QjvqOhK8Iz24HIlzVKy8aU47g3DE+IdoS9BcN1ewKjUOCbHVnUKwAOXFUtVMPG+iFXojS2mgrBc5VbTPjnsasLtjHx7f+XRMWC8eD257IuH25j6jxAITx8iyUuRPhN64KS1y4Hcb78dTu/8Bv2it4/bNWVdiaukkXDzpvJQ/Q9/ayaqlzOYDbYbJwARZViQSFXD705sAAFPHDs8E3AKXLWOerP/73K/U1+2BTkNO1uljpR6OipGVTsX3PtKCJWf5vy2P4q6N1t7upj6ts8L08qmW+xCGltx/6uYAipFj1Uqn1xfGrsMDM7ROtPvw5Jt7LBWv9UxKEuIrcsd6qJx2Jqafmy2FJtPZpoCRHs5iRDsnc6NThZICB+y21LwIb392DNsOthu+k1bZyKoo1ioOw/L2vqiW46RX3Daz6sQ69XU8FX9RFLG7Yx9+v/GBhGNUugRUF1QhxKcuslqoU0a/4/8tVl9v791ouf/sShY/XXi9oStBIkIR3mCwm6+rw029eOINo/6Y0oJGLxY7Y1xmBU+zhacvjNbuQEb6GU4sG6fmKVKg1HDh4ppTsGz0IgBaRS6fxhCfuc8qIXc47m1Aiz9WDFcURTy95wV1uYxUFeYEuf/UzQEul1vsLGQ1D9YNX56rvu6vVpPC0+/sx6b9bXhl9RHL7aVFDlSXu5PG1YvcsTlZDjuDUNQ4s7UlqVLMBartYxCuOxmhvcvUdRFTuJCOFgCUgCK3DS4Hg6BFjz499a1evP7pETz62m7Dg/DhV3Zhy4E29OhkOJSmysZWJtYGjzfsw8sH31SXZ1ewlvsd7D6MJ3c9G7M+YgrvKA/QVn8bfrr6NhzqPpzwvBSU3/WWq+YbOhXEo8AWP2xnhdekqm9uPG02sADA5ZCuyeZOyVgtK3IY+gAOR3bWZUbEc7nssYoKUdWTVVOgFa/YaEbenj5Plp2xwxse2H2NMDQo+aO7O/bhYPdhHOo5DG9E+82GsviKEB9iZKXAuQvG4vGfngl2giZEqA99JHvIx0PRBqpv9Vpu5/nEFVkKRQWxnqyGNl/Mw5DJg3wXm40G3zUGYlgzBEYXGivORIECRYkodNvhcjBJm3XvO6ZVfvlMXsOXVtYhGObV30Lx2Bzr1ir8wnGMrJ6QMRwXL1m4K2hdeWbeP2L6nJ0de62P5wni4Vd24dOdTfAHI4jyIipLXJg1qcJyfz2njz0VDN0/iYQn3jCOI2zyZHV7Yj2NNeXS79fcKYWd4jVaH04MpmgiEaoRJUbVvCub7jdUPFlK4vtxT0PCFkp69JOJM8ZqE5tXDr2FFWvvRHcwc2KrhP6jv8ZCfAgRPoIndz2Lh7b/OeZ+1N+/c0JmIKZuClAUpc7MFfRSAAM1sji56i+ezlMyAUeFYoucJF8gEhPWseeBJ8sq8fmLUy+G2+ZWEzodNhuCfAQzJ5SjudMPr9+6XUyUF/DEG3sMnkBzw+2OXulhFJIN0kiUh9cfxtbDDWBkm/pEVzfmjIo9fsSUKxavuiue2GdUVzbPC3xMTk1tQTUEUcD+roOYXjZVzVdT5BR21HVgf30PooIAVwptaGaUT8P/sF9Jup+Zo83Szbu82Ilub8hgZAmiaCj++PnVp8BhZzBmlNSqSTFaFYHU4ch3Pz8bf3l7n2V1ZTqwUXLOlcCrnix9Pp8+8b3R14z7tjyCqaWT8MP534GNtiUssLh/62Pq66vYL6PIXoj3dJWGTX2tKHcNzzBvPqLPD40IURzzaRXKZsOaeLJyg9x3beQotM7DZPYYpYI+bGU2hhR4IbGAo0KhLlyoLyuPSXzPB0+Wxfm6bC4sH7NEXS4vcsHlpLHopDJ0jX8b0dKjll6Ew4292H6oA9sOtqf8+aGIgFdXHwZl1x6YVvkPQGw1VySOJyte3zB9eEfRKSp1lKjaR1GBx6oT6/D4zqfxYf0qy2Ns3NuCaFRQf9tEGlu2Qc5s50+TLM2ILgxtbpJe5LZj8ugSOO0Myoo047JyGBtZE+QwaKaKYLRwYFTVyaJ1v6WyvT3QiUaflPh8uPcYblp9W9xijN6QF6IowhM2etHNzez1EwFC9tF7xaNCFF06T6P5t9RrDhKyR+4/dXMUfRjPqo1NMvR9D6NxdLB4XoQthXCh3ts1oUZLku8zhcbyIlwYZ4z62bidZhASgnj32EcQmBDsk/dZehON3kftO14+N7a0WQn/rt/bgk93NoNyaEZWMGrtoTArY8cLF+rFbE8brRmL+v0VA21K2SRcPfNyeV0ER3qOAQA2NW+1PDYgXUuKMX7P5oeMnx3Uwq52OtbYE0URm/a3wtMXxol2H3Yfic0rUnIDC1zS96k33vUTjOVzazF6lNZsXJ+QPyqBfEO+UyN3Edh/vFv1+qUTtXpQ0MKF+vZTyutPGtbEhLaP9MZ2pNjZvhe/XPc7fFS/Wl2n/H2ZDfF4EwdCdtAbVREhiiCvea/Mjb2JJys3yP2nbh5gJXCZDL1hppcQUBBFMalKthUMTeFUubLLLFKZD4nvhSnIMdhkY2G1rrLPnCcE6I0bEe4l78Mx7f+zd9bhcVznGn+XUdIKVizLAmvM7JhiO4ZwGk4abJuGmoaaJk1TvEmT9IY5DbUN3jAzOU4c23EMMcOYZJAttJgW5/4xc2aHlqSVtJLO73n8eHbm7OyZ3dWebz54vw0AgHkT82XjRuQ4cf3ZE0M79H7ozB4Eu/nF0xPWyFImrssXpE5fF17d+Q5qO0KesPqukLfDJ4QXg1wQG+q2AADMepNoDPmDAXQLlZV2oReZNElf2oeRGKfKOfkqQ5puNoPam7StshFPf7AN97++AX//zxo8/OYm2WsAgrFv0MMsSIB4BU+W1xfAA69vBABcfuoYXH7qWFkYfUJZqNoyVUPLbaggvTHYcSDxyu9GMecqFFKWeikKU0LfZ28Yz9OhtsOigba+lv/MVh1ZIx63GviCCaUhTkVJk4sVh0NtrfxBv+zzOdhWJTOsqJGVHFAjq4dYzAZRPT2aIrsWHRIjSyvvihgI8XqfDAadeGetZDCEC8cUp+O0OcX4H4kUASBv+2Ezqo0Fn1/tySIhWUNGjfA/r1NFkrIJI3NT4JQYATornyMX7OC9W80e7SorpSCgckF6e/eHWHnkR3yw7zMAfG7ZgsK54nFSmfjF/mV4Y9d7APj8LYeJ9wZ9c2g5OoXmwGQR3FbJJyrnZNjxmzPHiecK5/EsSc9DoIUPIY9IVYuT1gs5aYfrQ7kev39iJeqbpU2JgzDodaJiu0/wZH29vkocM6pInbdz1rwScXuoK08fM4av9nv7270ycdtEEMq58iNIPFkSj5PLkoZRrlIA2kUah9urcc/aR/HohmcQCAawvm4TAL6CkEDyBpULM/VkJRc7m3aL23eveQhN3aHvWpu3A2aJkdzb9ABKYkj+VTdJ0et0+PsveZ2aaIrsWkiNLK18ImK4xerJImuYzx8M2wR5MHiy9Dodzp5fpmr/k2XLxNhMBpeMOV9mcBG08tr8AQ4wdUNnlieEKmUO9Dod9DodTIKnRmfhjaxy10gEu+1oCFRpqs4rc7KURtaamp9kjwuc+ZiSPQHXjL1a3MdxHDbUbxYfe7uMyBeqKTv9XWLrHZJUTxL0z5pXItM9C2eMc34zfAfGwrtnEuYJUgBSPGGKNqoksiT+AAejQSd6sipr+NwP6bfJrZFzleyNnhPJwikF4naic7OI4fPO7o/QJYSHlEK2JNynFdomeTx7W/Zjv6SVk9RrRfIGuRhD4EOJ3U37VPlMyYiWov/Opl3idpe/S2YkG2hOVlJAjaxeoNPpYNDrEOyBkSWVEtCq/CaGW6xGFpEg8PgCEYyswftx63V6XDvpcszOmy56d6RoGVkrd+6Dbcq3MI1gI56bfHzECNUZ+c9m3IhcBFsyEYQftZ3q5HkSmvt5xZmwGiyyu/5OXyc4RdOlsUKLpUB7mhiK9AX9aJbcjX77uU2z9NoT8KKpzSOG8sxGg8xoJmEqpQaWxWQC1+1EoDEPL32+S3aM4zi8uWyP5nsiu84AX+Va4OYTvNfu4D2CbZ2h73AkT5XDOvTDFuWFaaIHudDtiDI6Pshi2eJtw3dVfGWpQeFxImOkOkkEZe4gQer1IAaXy5ImGxNOCHio0NTdjEc2PI27Vj8IjuOwu2kfDrdX46e6zdGf3M94NTpftCq87Ea9ETNypgAIL45M6V8G76qbJBj0OrEHXjzsPhRaWIMaVhZZTGMNF4prHAeZkXXiMSF9oljkIAYDHT655AXnM+P7zdUqxW22uhoqTLwn4L7fhDSBiCexyyPcKer5/1OtVnB+fvHRWmzI4mXQGWDUG2V3/UrNGkDSi9EfBNfJe+ravZ0ydXnyJ3nOqJ/JnusJeHHzkyvx8So+kdls0quM5gOth9Dp70KWNQO59mz8YszPReMbAJZvOiJLzG7U0LdSztXjDSDI8Z6siiIXRmQ7cbS1Gy3tHny+hu/VSEJlWjz1+wV46Lpjwx4fKhj0epw8cwQA7b/n3iD1TnT6+BuMcJ4sLQFRaQhRavhLw4VZVj6kbDVacf3kK8X94Yo+hgpEEqHD34mlh5bjkQ1P459rHsZ/tr6C3U3aItEDBfGml6aNFPdJE98BPkT4y7EX4NHj/qmZVkHpf4bGqjuA6PW6HuVkrdgSMgC0woV/eY5viRJ73ntooMVswN9+OR0PXjsXLklozKSRYD8YOa/iDPkOXRBL11fhqvu/xfINoTyhMcVqcStjNm8YZLlsYu9D5duvI0aWzQo9+IVIS9yxXVjQrEaryshSeg9OKzlB3Pb6AoCBH7u3SV39tfdICzKt6bJ9DV1HYcgOjXVYTSp5j60NOwAAk7LH42+zbsHMvGmynoMAcOeL67B6G5+j9v6K8IsIMRS2CjlgRK09zWmBP8DhpS9C3sHpTHgjy2I2iGHYoQ7xOvckfSASVmPob5gUFihDQcT72aYR9pJWnUm7J5j1JrgFb8cFo0P6aXZTyBsaTjpkqCC9YXtvzyeyY49seLq/pxMR8jlm27Nw3eQrNMcYdUbodDqa9J5EDI9fvz7EoNch0Ms710iOsBQNNfeICOtuSV4q0lMsMm/HYJBwiIXJ7vHyHYYAiETD/a+sx38/4Y0Nn1+dT5JRHMqXIQYsx3HgOA6LpuWjtCAFpiI+udRmsiLfxYdP6lrVi1eTh/dGZtrSYdIbZeHCoBBKXFQ0D08svBcnlywRj/n8QQTbeM9BbWvIsxRo4ts23f3SeqSY1f0qzSN3AEbeK1Hgdsgq+S4+vkJs/zMte5K4X1lJCQBb9vGGU1F2+J6YRJrhyff4qscxQrcDkpe1YXfofSTNoIc7RDuvJ+kDkahwhRr9krCe0sginqxWDU/Wp5VfidtLDy0Pnctggs1ohcVgFrXZAKDIWYDFI+aLj9fVbtTMSRzsNHY34fGNzw30NGLmm4P8Z2c32mSflxRlMQ5l4Bkaq+4AYjDoe+TJIpTmp0Zsx3HW/NL4Tqg4lTRvJxbNrcHCLdOuQ7mrBGn6bOh0HKAP/bgQL+HaXWphzjZ/K5oF48hm4e/2TEY9nt/2KljHe7jqnFBFXIrZiXQHn1/T0tWBdm+H7EeMiIma9CYY9Ua0eFvFxehgG+9RM+gMqnwlrz8Izsu78hs7+EUx0JYO754p4hjpj2iBM0/c1ls7YDToYDTo4UqxYNH0IvzmjHFYPK1QDGlaJArz40rUrXZIeFvLGCAaYh5fQBYGz3Lx3o31CmHXhVMLkJ2unQM43DD0kZFlMpiwuGi+uA2oqwBJ+LA9Sr/BHY2hvDyO4z2ueoXBptPpcHb5aXAKVa7Pb3sV31at6N1FJCFrazYM9BTiol3wup1acgLyHWqtPyC8cDJl4IjJyGIYZgnDMP9iGOZ2hmH+R+P4SIZhXmQY5lbh/0mSY5cwDPMgwzD3MQxztfK5g52e5mQBQLbLBpNBDw7qkGGagxeAdMagGxUJqSdrMCe+KylJG4Gbpl4DU5BfCHS2NqgtTO2eg3WdvBfm6tPHYXJ5Fo47Jgvr6zahsbtJJtCYY3fDLuQ1rD26Gn9ccYes0TMJDxr1RlR38MngH1d+AQB4neUlGZQCgYAgN6HjvzMbW1cJO80Ax38+ZpMemdZ0zMmbgTRzKi4bd5H4XJ21Q8yt0+t0uOnCqThmTA52Ne3BSkH3yGKQV08qxVdJkYBSrBYASvN42QqvLygrJpBqckmJV8dtKEM8i4kOFwKhJOYG4fuUZZMbzwaJllasBDheQV6Z30WQhg33NFfGNd/BADEiI9FX/Sh7QpuvDU6TA1ajBTqdDsUpQ78f6FAg6qrLMIwdwNMAbmJZ9nYAExmGWawY9giA91mWvQ/AAwBeEp5bCOAWALewLHsrgCsYhhmFIURPqgv3HA4lvevEkFXoeEe3Dy0d3rALmxbhlrqhamQRAn7+yq3jVsN2zBfQOXhFZI7jYJZUFc7ImSpuk0rBArcTN5w7EUc8+8Vj247uBAD8etzF0Ol0cJn5MFmLv0k8/lPdZjy/7VXRc0R6ywHAvmZ5jpWywhDgDRjOyxtCHo7P9eKCoc8mPcUKnU6Hi8ech38e+1dYgy6k1fCeDJ1N21Px6IZnxdeyKHolXnbyGNnjDbsbUFXfjpVbqmE26fHAb+eIx7KFoon6li6ZwCtRe//H5cfIzmUcIsUUiaCvPFmAvFcqAFW4KJyhFAl/MIAgFwjb21BqrGvJBwx2HOaQkfWz0pM0x3x/eDXe3vVhf00pIm3edtnnPiFrLADgvFFnIE+QfTll5BLN51IGjliy42YDOMCyLCkzWQngVABLJWNGATgobO8Db4hlATgRwHqWZcmvzg8ATgawG0MEvV4Hjy8+T9aRBr6iZXRxOhpa+GqhIMdBL5hK3UKVm7T3WzRmjMnGdxuPoLxQXoItM7KGYAJyrsuJJondYR23Gt5947H3SCsCLZkwZvNhu1RLKG+oTiHHINXIIaFE0hQ3254NrtUInTGUb/Wfra/Inm8yGDE2g8H2RhaVrQfwwd7PxGNai5PPH0SwRZEsHgwJn8NZAAAgAElEQVSFbGobO/H95iM4dkIedDodnvlgK2rrAWsuYMrbD652HCKhbEit1/A23ft/P6Gj24/xJRnISLXiwWvnwmbhQ5tpDr5a88QZfLVcUXbovSt0y/OvYumtOVwg7/Nb3+7Fii01uO3iKbBbE6N0rxXSkx+P/2+7trMewWAw7HPN+tD3SD8EjWmpYcqkl+EjjTFEJPiMspNl1Zj9Dcdx6PJ3I98R8i6eOHIhxmZWoCilAMcVzY3wbMpAEouRlQ1AmvXbKuyTsgLALADrAZBb3dQYnysjPd0OYz+IGLrd4ZN+48FiNsDjC8R8vk9XVeKFz3hvyfGzivGuoFOUmekMKWoLxpbTYYn5vDdeOA2nLyjHqCKX7Ac4U6LkXVKUrhLiHOwU52Zgh0LqyVy6Ffe/NgJcHv/1znW6ccm0M7BUSBw91Fkle189h9S6WzmZLrjTU5DjTgG33wGdM7yKd67bhd/OuRTXffxXAMCXB5aJx3TGoOozNAifs78hH8asI/zOoPw7//ynOzF+VDYqRqRjV1ULIFvwdLJzKs+flyOvTASA46YV4luJQjvpnZmWYoXbnSI7R3mRC+t31qGqkc8BGVOSKTt+04VT8PBrfD5LqvD8/qS/Xy9WnLVCfl2QQ1V9O178chf+frlaADZe3O4UuNpDeW+LS49VvQfOg/H3hqztrEOWPQMmnVHzPU212wHha7/9KIuMTLumhluikc7lvz+9gR+rNuDJ0+5OuIJ5qjcUKRg7ooRfvQA8e8a9+HTXN3h/xxficVeGDXZz3/TfjOX7TG7W7FazbHxOdlq4pyQtyfr321fEYmTVAZC+K6nCPik3A/g9wzA3AWgCcBRAlTCuXPHciOqHTU2dkQ4nBLc7BfX1iVH45YJ8m5FYztfR7cNT74RE7vTBIPxCSKauvk3UNKqt53+s/f5AXPNMtxnR0CAPJ7W1haQHujs98HZp5ykNVvxe7dBMboYddSl8iO/ysZeisyWA++fdjjt/fBB1bUdl72tNs1qhu73Vi3p/G7zdXiFJPbyR1d7sgzdM8UNHd7fqM2wRPhOLoxvEzxXs5kMXqQ4zWjv4z4jd14B0mxE2iwFdntD5rWa9eE63OwWHqkPzr0gv1/zO/OL4Cly0qBxX3f+t/ACn/u6aBe/Uo2/wPe4CPvn3kJO0MOru9iXsbykWEvm3m2jSLHIjYN322l7PlVxvu6SfZL4lX3Xe7bWh4EBp2kgEuSBsRqss0V0Ln98Ps8GkPc+A/Hp2HjqIbLtaFiUR7GjchWxbFkaPKJbN5fPd3wIADlXXw2lOrMhrU0torelsDuA3E3+FVHMKfG066HzypbG6vgmp5sSr38f6fSZaZwEfkvb7HwvJ/PfbGyIZjrH4gH8AUMwwDHGBzAXwCcMwGQzDpAr78gE8wLLsw8L4L1mW9QL4AsA0hmGIa2U2gM8whOAT32PLwfAqwooup0WSk0UEMf1iyx1TAnKoSC7NyNwUVV7HUMAURg/GUrIdesH7RHKU7CY7nCaHqi2PlnAoUcNmitLF/CmCMryi1+llWkZSfBql7ySh3KALhR+4Ln4B+fsvp2OUEPINJZ7rUOh2osjKV5rqxkkj9aG2KQBwg0RIUolWTp7VpH7/lE26TQqtLbPE0zwYWjX1F6QCk5DIzCxpaMuo0S7lYNthcdtmtOIP06/DmWWnRD1vgAuoQpEEi14edtbKL0wEB1oP4YmN/8bff7gHzd3qv8W+em1SKXxS8SLodDpMyBqL4lQ+mdxhlFfMDnR7IdJdYqgISg8non5iLMt2ArgGwGMMw9wFYDPLsksB3Abgt8KwOQBeYBjmVgCXAbhOeG4V+ET4hxmGeRDAv1mWHTL5WACfkxKrkaWsQrRZjKLhQ3SHrn14Oe59lQ/FJCJRvSw/DXddPQd/umRq9MGDEKNeO0/iMLdd3M6QCHsaJXpWQS6I/2x9BftbD6oWLqJHZDLqkWJKlR0jSaaAuo2NErtJLW9ANKhMzSH9o2A7P8eMVCsWT+MbOfsCQXAcB68vAIvZgKxUPh+qM9AhO98TgtbPZPeEuBsxW8zqBdapyCMi/RIJUqOL/ujLUTYfTxRSQyia0CQx7POduRidztcZHavoW0lUw/1Bf9ikeYtRbmRpNZ9OBNKbnK/3rhB7fvpk4r6JT7wnN7ZpllTVsUlued7jQDfKPiQY0YfajgzoPCjxE5MsLMuyXwH4SrHvVsn2CwBeCPPcVwC8onVsKBCPhIOWMUbWxOc+2o6KQpfsWKKUsidVuIekixaIrapKanjwoqE+fFr5FZo9rWKPsgxbuijtAMhbjjjMNqiztnguGn2uuH3uqNPx9u5QJdIoVykuGXOe6jmkam9sOoPVjXsRbHcBnF6sTiMeTJ8/CH+AQyDIwWIyyKoGOY4Tr6tFSNzXUqVX4nZZUd8cGqdlZOVmyg3Duib51VsknixlK6Phzl9+MR3f/FSF979PrOSB1AsdLS9qV/Ne4Tl6XD+F92x+e2ilePzMslOwu5lX+/cEvDFVFwIA27QHRSkFmmN7SlXbEVkj9Te38unnu5v24Zjc0I3he3s+wSklxyPH7k7Ya5Nm2Fo3JnaTHRePPg//t/MtAHxlXyJfO14e3fAsgFBhDmXwQG9De4lBrwPHxdavTKu0W/rj2dwu7xMm7TtH0UbZx1CJ0yivhiMeqk8qv8LKIz+K+1NMynGh+w+HVb7YdPq6kGZOwZOL7sOU7Ani/oVFx8pKqC8cfY7Mi0bwCZ6hC5dUwLtnCvw1Jbjp/Em4/bIZ/GsLxrU/EBS9SBaTQeZt8wbVYcgMq0u1T8k/r5J7NLRC0m5F2MudJpcSkXqy6vohh3Iw4bSZcOIxI8TH61m+krXb68fuquYen1cvCxfG3zJFapgZ9UbRG8aBC2tk2Qzyz13ZdiYR/O/aR7Cxfotq/6rqNbK2NutqN+LRnxLb5iYohCD1YZbBOfkzcNHocwAAR7v4Lgmv7nwbr7Hvot3bofkcCkUJNbJ6STzaOFqeLGl5fUOL3BNhtVAjKxpEfsFlScMlo9Veo1SzPBRgMmgvUHtb9ouLjVFnkC08KRb5YtPkaYYjjJChQWKcaeWLBYMcDtS2w2TUw2Iy4L7fzMajNxyLCaWZKBDkEUiVaX1zFzzekJElNayOtIfU7Eky8lnlp2nOST4/vUzgttOjDoNI+11efHwFzltYLjsuzcmi4UI10pujr9YdAgA8/cE2/O8rP2HngaZwT4uINFwYzZOl01DNkxroBp1BJs8Qzhs8O38GFhYe2yN5iL6gRaMvY28Iip6s8NdHvHnbG1nUddZj5ZE1WHGYFyZOtHYYx3F4g31f5tmjDH6S469nEEP6AcbSWkfLEMvNCIVm9h6Wu4Kt1JMVFSLIt2TEAszOnwFTQG5UuSzyEudwSb5AKNldmeflsKiT2p1m7X59RCGeP4/ayPp63SF4fAExqT3LZVP1pyS6VMs3VWOV0Mw5J8OOE4sXiWO6AyGDPBgMwmVJkyl0RyLVEXq9iiJ1CXh6igV3XzkTT940H4unFYrthwhS/ba+UDcfCpx5LN+eySEUnmzeyyu1f7HmYNjnRELq8daSMpiZO03cNmvoOUm/i0a9AU5z6HcnnBGVYnbi3IrTMS5ztLiv0xcucN73xKLQHg8kJytSHiO53nW1G3GwtUp2rNXbhj3Nlfik8quEKMN7Ah4sP7wKL25/HS2ekEH5zOYXxe3Lxl7Y69eh9C/UyOol5Mdvyz51+xQlWguSWRJ6aVKEC61m2kk9GlOyJ+DOOX/CcYW8GJ8B8gVobp48PObxy99jwg2Tr0K3oOAuNWAAwGZSG1nZQpsTJSNSC8VtrbDOlspGzefJXk9i1Ly3nM+dmVCaiVxHNs4WvFXShr1+LqBZcRYOIhFRlp+K8SXa15GX6VAZVwSdTof0FP496Qt186HAqXOKAfDVwkAoBLxp79Ee5bFJvU3K5tAAcHzxceK2TuNnXer9MugMMoMlmqdqbEaFuP1jzfqY5hsLLRpVvZGIVmQSL0Hwn4M+bL8M+fu+vm6z7NhfV/0TD//0FD6t/Ap/Wnlnr+byXdUqfCJp5L3s0Pfi9uaGbQB4j/X03Cmq51KSG2pk9ZJ2QW7hX+9vjTpWa0Fq7QgtliR/g6CVlExRk2FNF+9GlZ6qsZkVssd1XWpNrFm508FklKv2E9LNakMkXBJsoTNf3NbyZOXG2Ex54RR5gnFuBr/AEC9FkyeU3xMIBmRhymiQ6sW4m49LmD+Jv84JZdpG2nDHoOfDwSQcK3WWdHvjDzNFqy6Uhq60HDPSEKJBLzeyohkv0spEaWFHb9nSsF32WGo8ZlnVjc27YijsiAeSRxvJyJyVN118f4ixo0WbojH3x/u+xKoja2Oey5u73sc3EsOqobsR/qBfLMwBgFZP5ObflOSEukp6yZ7DsVd7SD1Z5hgqB63UyIqbgF8HCNEszmtRtRLSuntWavBcr9Cacgl5XUGPFXoL/0PvDiPKqAzLKEmNsVUSM8KFZRtC2kekPYtd0O/5rPJr0Xvn5wJxqWH/bM5IzJ+UL3qjesLpc0di7vhclTYUJYTdakRntx+BYFCmkVff3BV343d9FJ0sh0wqRG1l1UpaScXryeqrnCyp0VSRXg6HyY4NdZuFJsjqvq3tvsQmm8cSLjToDVhQOAef7Q9p05EWWlrn0+l0CAQD+Gz/1wD45PmeUNlyADd++2fZPqWHnTI4oJ6sfoR4vSoK08Qqr9OPHYnsMNo61MiKn86u0GIWaHarBFivmvAL1XNm5/E/hH+beQtum3EjRmfIe5ibTUZ0rV8Ez5ZjxX0ODf0rJVqLEycY2r86ebTqmJQ0h7YxNlHIQZPmgPBaR7F/V/R6Xa8MLIBfmKiBFRmbxYgujx+Pvi0PM9354jps3K32qEZCLuGgvjdOt7pQkc57Y7XCX1Pc48Vtq9EiK9xICZNfKEUqp5AopEbW1OyJyLXzHdfafR0yTy2BAycmqycCcq5oRuT8wjmyx11+7bw0YgS2R6l4luIL+GQ5VwQq1TB0oEZWP0L0hhZPL0JGKn+n5rCacPXp2g1/qYRD/GS7QguG78AY1fHxWWMwIye0YFw8+jyMSufDZrmObE0doIwUCxAwA0Fp5aAZ7V0+vPwli7bO2EUa/YKRFU20Mk1R4Se+rsEEq8GCDn8nlh1agbqOowjE6cmi9A92ixFdngC27lPn4a3fpexMFhmZJyvMZ02MFK0UoxxHqGWsQWeQtajJd+ZFff2LGF7KIM2cuL5zRNz0snEX4dj8mbL8p5MlUihSWhNYYegN8q9vDiNoTJB6/SwGM04cGSpAuXbS5eJn09TNG4ZbFWHQSGyu3RkxDEkZ/NBwYT9xuL4dbwrNoJWtSFLs2n/kNPE9fkrz03H08AFwfhPcadrVSGmW0EIhFfgMh1Kck3+eCU+9vxU7hJL8S09gxGP/nPtXeALaCfYkLy+a9IHbZUVuhh01jZ0oK5BXTJIE/bd3fyjmyPREO4nSt9gsxrD6eQ5rfOFCqadSKRIaInIRws9KT8RXB75DoTNfpqA+N/+YqK9vMpgwJqMCOxp3odvfrRnOixe/MId8Ry50Op1MSuG4wrmYm38Mvqtahff3firub/a0qCqGewopHjFH+Q3Q6/Qw6gzwcwE4TA5MyBqLJxfdJx4/oXghPt+/VPybf5V9RzwW5IIRPWUHmw+HPabkj9NviHksJXmgnqx+YuOeUHhA2S4nM1X7B8tiph9PvBCRQM5jxbETtO/QTVHyppQYDXpctIQPIeo5fnG0GW04cpR/rcN17TJRzjRLKrLDJMaT7gCGKD3/DHo9/nnVLDzxu/kYmSs3submz9QYTz1ZyUZqmJsnAMhMi89IkRpFtjAGDjGxtHSyAOCkkYvx4IJ/wG6yycLdseZcET02aWcELT7f/w1uXX47NtZHLgYi/QBJHqNfogOn0+lgNpjRpAibNXcnLoxGPGmx3GgRo1JLG4s836PRdsgfRUvrtS0fyB6H8+AB8splyuCBruK9RKpzFWs5u1Ev/xFUJl7ecM5E/O2X06nQYw/Yc5RvZzI+pwynzRmpOUaqgxVrLtPs8bkAgNKWM3DztN8ixexESzv/o7qrqgW3PbM6pvOQ4odYm3WTBt+yueT1LJmW0r+cc1xZ2GOx6OpJybXnoDRtZESdJLFNTARJAoJep8ct067F7bP+GPMcsm38jcO+1gMROy38WLMOHf5OfLj3s4jnI0YWuekheWIjU0OK+e2Kqr3X2fdinm80iLivKUq4EAAmCTltLV6NZvKCkaXVhSHAxd7zcH7BbJxWegJOKzlBtn9K9kT8fupvwzyLkuzQVbyX/PGikG5JpNwcqf1liND4+ZwFpZg8KgsleeqmpZToTM3n29ycMGpm2KohuScrtjCb6H30W1CaNlIME0qJpYclMbKiebIiUZxaiDNKTxarCwFgR+OuHp+P0jc4NAxkgtcXn4yD2WDCzdN+G1EnSfRkxWjAl6QVw22PXYKDiN2+tesD3Pr97WHHEaOltrM+YlNpEi4kXtj5BbNxyaSzcc3Ey8QxSsOlzRcyunY27sabu97vsRAomVu0cCEQ8uJpQdTzVxxW32hF8mQpqyWJor20YfUvx16AK8ZfgjLXyKhzpCQn1MjqJWlOCxZN5ZOlWzvVdzKExtZQJY1W42eS3DxjTE6CZzi8uOaYS3Hr9OsxKj28F0H6wx+rkRVq2sz/aB6sVSfgbquM3jKlq5u/s+1N5ahep8cJIxdSj1aSYzLKP+O7rpiJOy/n85+ULbQSgShJkPAz88Tq9ZUaPdUdtWHHieFCIZ/QoDfg9NHHy5LyicFRljZSdf7HNz6H76pWYVfTXmys2xK3sRVPuJDkwWkZWyQZn23aw8s4SD4BqWiwkg5F/0MSCs11hNaATA29MMrgghpZCYBUAUa6O917OORm1hq3eFoh/nvbImTTsvheYTfZUJxaFHHMtJxJ4nasC4der4NBr4M/QBLX1UvZI29tiniOYJBDZY3Qa9HZOwkFQJ5P9puJv+r1+SiJJ08omphUlon8LAdcgnRGR3f4xTdZifWGRCrNcN+6x8MaP8qcLC3OKD0Jp5WcgKsl329PwCs757NbXsRzW1/GBo1G05GIJ1w4O286Th65BL+b8hvVMWlVpCfgkenuNXaHv/HyCdc/ylUKu9GGcyt+BgDIlxhZWi2SKIMLamQlAOKZuvvl9Zq9ybo8fhxu4N3cU0ZloTQ/MdUxlJ4hTUqPR/rAbDKgy+vHl2sP4dWvd6uOVxS5wj53x4EmXHHfMtQ28rksyuKHniBdnErSint9PkriIT0qSYsi0lzbK+znOC5sBWL8EHHNvvlZj+VvpaHrqErjKpy2FUkij3Reu8mOk0uWwGGyi/0Z230deHPX++IYUm17pL066vykhMKF0Q0Zo96I00pPkIXyCFIjTdoaBwBaNXK4CH4hX6s4tQj3z78DpYK3Tlq5qWxwTxl8UCMrAUjDf298s0d1/EhDBzgOOGFGEa4/Z6JmuJAyMJjiaEeT5jCjtcOL15eqDSwAKHCHb2B7/2sbxG1psURvkHrhEt08l5IYSAsdq2BkEfmWbZWNqGvuwmNvb8ZfnvsxIQ2GF4+YD4fJjotHn9vrc2kRi9d3X8sB1T5pZaQUP+eHXqePubqRVER2+Dqw/PAPquPtvk68sO11VSPncHgDPpj0xl4r2s/Kmy5uk9Y4JLzZFkGl3heQJ/5LOaXkeIzJqEBqDEKxlOSGiuskALMx8o9Pm5CrlRZjSxVK/5ESh7himsMseqK0IF4LJcqq01sumBzza0bCREMJSU+3l19IbUIOnjQp/Y7n16DLwxsgbZ0+pIZR+Y+VXEcO7pt3e6/O0Vu0NLwCGp6sLw8sw76WA3E1Nk8x8QbH1oYdmse/Fwyv7Y07Y3ofPEFvTEnv0bAa1de8oHAO9rbsFyVltAiFS9V/x6eWHN/reVGSA+pSSQDK/nhKSP5FvAKElL7jhOKFGJFSGLU5rhRXikUl9yhtT+MPY2SRhZZAQke9xWly4I5Fv8fdc/+SkPNREs+IHN6Iz8tUexqJgQUA7y7fB47jsL+mFbc9/QMO1SVfM+B0a/hwOIFIk4xylYoK9FqerA8EeQd/GC+XFjkOPsz/6f6vI3punabI3p+DrVX4sXo9fAGvWBnYW0hLI0K6NR2AvBpSiU/MCRuevg6O4/Dsh9vw/eYj2Li7AZ+tVntBhwLUyEoAWknQUvwBfvE1JSAPh5IYzig7GX+ccUPM5e4AMG+iWtx0GhPK7/IFtI0sr8L4siSwJ+UY96iEKWBTEs91Z0/ApSdUYI6gsxaO5ZuOoPpoJ175chfqmrvw1jJ12sFAkxNGYFcKSeaekj0R+U7+mmORNomFcZmhfp95jvBV2LWddbh+2W34eN8XmsfvXfcYXtrxBo52N8Gi4YXqCdcoCk/Shb/JiJ4sjuSkDU8jq63Lh9Xba/H8pzvx2Dub8da3e2PWmhxM0FU/AUQzssj3po/yUSn9xNiR6nJqaX5VuHAhMbIyU6148qb5MQuRUgY/LqcFC6cWQi/5jVg4Rd0fEwD+/fF27DvCJ0rro/ymDBRStXmthPaGzqMAALvRJuZwBePwVkXCqDfCbctEmjlVDPNl2bR1voJcEJ/tXxr1nMUpiVFRNxvMondNBx1SzSnQQYc2bwRPVmB4e7K0BHnD3agOZuiynwCiCUsG41T5pgwObjx3okxyI5yR5RMkOyaWZSYsVEgZvJw1v1Rz//6akPZatBu3gWJMRqhZOckpkvJT3SYYdQaMy2TEhHKtnKyeYtKb0OJtxbajOwEA1076NSpcZbh1+vWaYXOtNjhSpPpbvYWkHqRZUmHQG+Aw2VWCo1JikbAYynj96s9G+RvqDwTx3cbDoj7hYIQaWQnAGKX9DSnRpkbW0KGiyIVJ5VkocIfyP6KFC2lVKQWILW0gWX8r3LaQGKdSaNMX9ONwRw2KUgphN9lFT1a46sKeoDRIsmyZuHHq1ShOLdJskk6EQsMh7eGYqLmRUKbT5EB7xJwsUl04PHN1K6vV8hZKI+ud7/bixc9ZvPnN3v6aVsKhv/oJQHnXqSzH5oJEvyY5fzgp8XO24I1IT7GIrZWUPxDtXT5s2FUvis+aTfTPjQIYjdF/Bwqzk7N0X9qI3BuUt8xp6DqKIBcUjQwyViusmCkkhseLUp1dqq6ulV8lFUbVIpEG4OTsCTDoDJiRw/8eOM0OdPg6EQgGsLFuC36q2ywbTxLf49HqGyo0tXnw7IfbVft9/gDWs3W4+cmVONrSLYbPD9VFNpaTmeHpp0wwynChzx+E2WRAQ0sXVm+rFfMraL/noQNR+QcAZkQ6nDaTrLowEAziT8/8gI5uP848tgSAus0KZXgibfyenmJBU5tHNcafpLkpUq0spSeLGDTEOySGCzVCdulWF452N8XdqcBty8Lu5n3iY+mNq0lvxI1TrsJPdVtEOQdlSHNT/TbZ4zxH5IKEeDi15HicMnKJOCdS5djh78RzW18GALRXnIX5hbOFuQWEeQ8/T9ZHq/Zr7m/t9OHJ97YCAP7w1Cq4XXwOoEn4vW1q88Cg1/Va7qQ/oct+AggoKiJWbasBwCvAv7t8H97+lnd1JmsIgBI/Sq+U0aCThQtrG7vQIfQprBa0tcw0XEhRcOVpY8XWO1LC5fcNNBOyxojbSk+WshegQczJUhtZpMffhKyxcb0+qVgMR0V6OS5gzsIJxQsBhFTVCS/veCOu88WL1OgjPRilFYZv7HpP3PaLnqzh5+soCiPcfEjRE7a+mTfcnTYTdhxows1PrsTvHl+BLo86HzBZob/6CUCpf/XS5ywAoKVd/iOUrBVDlPiRerIAPt9KujBKPRE/bueb5FIji0I4b2EZrjhtDEYXp+PuK2epjidrlVWBMw+LiuYBADx+uQeuw8ffTISMrPDhQg5cj9InpNINp0QQ7CSGC1FVJ2TbeBmKX4+7CA/O/0fcrx8PKUK1YbgKw1BO1vAzsvyCY8Jpk6+dB2q13yuDXifrmpGMOnLhoL/6CSBSzzop1JM1+Lnripm47JTRyEi1yvabjAY0tXlE4+poqzoXJD3FqtpHGZ6cPLMYc8arddcIyerJAkLG0yMbngHAhw0fWv8UPtz3OQAgVeiiYIhQXchxHPSI//ewKKUAFoMZ4zPHRFRFNwlJ8EpPFlFnn+yeIOsR2BfYhGpDZS9HwnBOfCe/kyceUyTbv3zTEc3xSq3B5nZ1iD1ZGX4mdD+hJapGHVmDn/wsB/Kz1K7uIw18SODzHw+iLD8Vj7+zRTVmYrm2pg+FoiRZc7IAqGQJ9rZUYm9LpfiYyRgFANALCd1aOVnBHnqyHCY7/jH7T5qtbKSQllOegDyaQLxqve1XGAtkjs2eFs3j/mGc+E5uIuwxStqs21kne0x6gg4GYrpChmGWADgbQB0AjmXZOxTHSwA8AGAtgMkAXmVZ9kPh2H4A+4Whh1mWvTgRE092tNz9NFw49Hl3+b6wx6gnkxKO0+YU4+NVobYi4Vo0JQNKz4u0X2GaORUpQlNj4vHqCqi9uiQnqyeQXKdIkC4IDV1HZfuDXBA66Pql0pt4sj4KozzfKRQK9LVHLRkhRla8uoGFbieq6tuHVk4WwzB2AE8DuIll2dsBTGQYZrFi2K0AVrAsew+AewE8KDn2Asuyxwn/hoWBBWi7+6mEw9BlQmlkL9WVP4svwZcyvFg8lVceP3YCH0JUhkeSCaXnxSDxCuU6slX7n9vyElYe/lH2HI4L9unvYYbQZ/GDvZ/JPGlBjusXLxYAWDWaZUtbYLV4WmHQ6SP2YRyKdHn8ojSDy6ntkbzkhArN/bPH8zl5rZ1ezePJSCzfttkADrAsS4KgKwGcqhhTC4A0tnIDWC85Np9hmFsZhrmTYZg5vZrtIGLD7nrVPurJGrpceqL2j8Kkskz897ZFmMu8yZMAACAASURBVD0usVVMlKFFmtOCp25egF+dMho6IKnv1JXVcNLqQZKPBciFQF9l38HB1irxcRB9a+xkSHS4jnY3hl6XC/abkaWVa9XsacHSg8sBAC3eVrhsaf02n2ThjhfWYseBJgBAdnqoY8Y1Z44Xt9OdFkwu54VvCyWViKMKeOP5aEtk/bNkIhZfXTYAaV1lq7BPykMA3mMY5iEAxwC4U3LsNpZl1wgesZ8YhjmNZdmw3U/T0+0w9oOekNudEn1QL3j+U77tw5IZI/D12oMAgMwMR5+/bjgG6nUHgoG41lSXtnI0p9P1+XyG02cLDP3rNRh02F3VAoOFX6ST7XpTakILY5X/AJypIW9EZmqaON/WnfJcJFuKUTxmMOih1+s1ry0R15vFhcRcHalmuNP5c+qNvE5Zf7ynPmsusEG9/909H+PnU09Bi7cVpa6ipPt8+5q6pi5xmykLNR2fPakAT73Pa2Rlu50YPyoLG/c0YDKTjap6Pudv0hjek7VmRx3+dJkDxhi6Jww0sRhZdQCk34JUYZ+UFwD8m2XZ1xiGcQPYzTBMKcuyjSzLrgEAlmU7GYbZCGAugLBGVlNTZzzz7xFudwrq6/tHQdYv6bnU2d7db68rpT+vd6BJtmvt6PL26XyS7Xr7muFwvX6hce53aw/irMUVSXe9ZfYycft/lz+J6yZdIT4OeCDO98TCJVh3JKRy3t7qRb2OP+bz+wEOqmtL5OfLpJeDbdqD5bvXwjYyBXqdHl6fHzro++U9NcGO4pQiHGg7pDpWeaQGgWAA6TZX0n2+fUlKmk32uL6+Db85YxwO1bXD1x0KAba2dGH++Fyk20wYV5KBWaOz0dDSjY62kAfrx02HY67s72siGcqxmIE/AChmGIbcrswF8AnDMBkMw6QK+4oAVAvbTQCCAPQMwyxmGOYkybnKAQzeJkRxYDHz3jipDojVTIs5hxteX/Lm1lCSk6uE/L13lifnT2VxapEsxPXEpn+L29LQoVLoM8gF8drOd3DtN7eiuqNWpRifaMpcfKeFjyu/xNqaDeIc+rMA5ZIx58FsMOO6ySFD1Kw3ocXD5ySl29LCPXVIIhUbJXmIx4zJwTkLymQ5enq9DkaDHlMq3DCbDMjPcmBimTzvNVmbqCuJamSxLNsJ4BoAjzEMcxeAzSzLLgVwG4DfCsNuAnAdwzB/BvAUgD+zLNsA3uN1JcMwf2YY5gkA77Asu6IvLmSgyVToJnmEEtM0ify/zTL8SnWHE3+8aApy0uV3aiV5qWFGUyjadAr5WC3tXnh8yVmq7jBqh8cjJbNXd9RgxZFQAjzp3ddX2I2hv8VDbYcB9G9OFsAbmg8vuAtjMkI5mw6TQ5R1GG5GVl1jKFQ4fbRbdfz350/C7HG5GFUY3kN15jzeeB4sMg4xuVZYlv0KwFeKfbdKtlcAUBlPLMtuAXBOL+c4KPjrL6fjm/VVqp5MqQ4z7r5yJmqOdsJuHX6ic8MJZkQ65k/Kx1tCG6Wz55fi+OlFUZ5FociZNTYXr3y5CwBw939/xPVnTxjgGakxhNF20ke4b3+NfbevpqPJ9JzJeHv3h7J9QS4YcY59yUnFi/D5gW/gMNlFgVK3fXhp5xFpo1NnF4MZoW4SPr40E+OjVGqTiFC3N3mLQ6Qkf9bYICHNYcZZ80vx7B+Ok/W1S3OYkZfpwJQKtdVOGXrkZoTu8OeMzxXDxhRKrNitRtx95UwAwP7q1gGejTbSRtFSkkmmhuh1AaF5eQNemA0Dc7P7s7KTYDPaEOSC6PIJPfks2h7BoQrRf8tWePzjwSr8pm7Z1xhlZHJAjawEYzToZbHiwdQtnNJ7ygpD7n+ziRpYlJ6Rm2GHXqdDbmZyaiiFUymf7B4vezwrb3rYc/RHz75fjPk5gFDosNPfBXuYUGd/YNQb4Of88AqhUrNheK0PgSBvZBn1PTc96pv5kGO4FjzJBjWy+gCD5AuUlTb81HyHM6n20I8mbQhN6Sk6nQ52qxHtXX2bt9RTtDxZF48+F8Wp8vD4JaPPw7WTLtc8R7mrtE/mJiXbzmstrapeC1/AB1/QD7up516U3mLUGeEPBuAfps2hiSfLYOi5x7Mo2xl9UBJBV4E+gIiOupzmQaHjQekbTNTIovQCu8WIjmQ1sjQ8WTaj2njR6XSqNjilacW4fvKV+NW4C/tsfgTSsqaxuwk7GncJ8xy4G1+T3gh/cHh6siqrW/H2Ml69ydALT9aM0dnib2tLR/Irv9NVoA8g4UJqYA1vkik/hTL4sFmN6OhOTiNL65ttCFO1p/R6dfs9GJ0xql/ayWTbssTtQ+18eMmuYQz2J63eNvgCxMgaHp4sjuNw54vr0CCE+oy98GTpdDqx/VT7IGivQ62APoAaWcObP186DTecO3Ggp0EZ5NgtRni8Afg1ms0PNJzwv7R1TLibCqWR5Qn038Jo0Btw7qjTAQCfVvIF8hXpZZGe0qfUdTUAAFZVrwEA2AYwdBkNjuPwr/e24KOVlb0+V61E5R3oXbgQCCW/DwYZB2oF9AHUyBrelBekiX23KJSeYrfyXo7OJOxjSGQQygXBT4DPN9JCbWR5NMf1FWaJIeiypGFazuR+ff1IDGR+WDQaWz1Yx9bjve97b2RVHpFXyZp6uTZSI2uYQ3KyTEYaLqJQKD3DIRhZyZiXRZou2402XMCchXxHLspcIzXHplnkLUekqvD9gbShtcVgiTCyfzHqDAMmJxENjuNkRRePvb0ZWyuP9vh8lQopkt5WXhOtrH1HWqKMHHiokdUH+IQKCtpGh0Kh9BTSRaK+uTvKyP7HIiRsj8lkMK9gNv4y8/dhk7jNBjNumXatePzSMef32zwBeRiz1TuwfQKvn3yluH3rjBuSNm/zmQ+34Y4X1oqPN+5pwENvbOrx+ZoVCeq9rbyuaeR7HCfCy9bXUCugD/AKrTAyUpLnrolCoQwucgRh27qmTgDJpQx+9cRfYXP9dszMnRrT+JK0Yjy84K4+npU2OfaQEHSXvyvCyL5ndMYouCxpyLa7UeDMG9C5hIPjOKzZUad5LMhxPer92KUIeZt66cniJNu1jZ3i30oyQj1ZfYBLMK6a2/s394BCoQwdiCq2Mmk4GShw5uHkksX92gewpxSnFmF85piBnobIXXP+jBunXDXQ0whLU1v4das5wjEAaO304t8fb0djq9z72tntl1UUklB4TznxmJAe25+eXZ3Ua23y/4UMQkhrFRI2pFAolHjJEMKF0RY2SnTynbkAkBRGYbKGCAkkFKdFW2fk/MAv1xzCqq01uOVfq8BxIX9Tl8cPm8WI686bjLPmlcDRyz6+Oel2maG1nq3v1fn6Ehou7AMuWlIBry+I8xYOXKkwhUIZ3IiJ70mqlTWYMAoVjnmOnAGeSfLj9YV3DkTrQGCXeKg+WFGJM+fxqv7EyDpxVjHq6xOTF0duQgCgM4n/RqiR1QekOsxUJ4lCofQKg14Pu9WIju7kk3AYbCwaMQ+tvnacPHLxQE8lKflpVz10OmDKKHdEXba2KOKfgWDIe/Xhyv0449gSPPfxdrR0eFGSmhLhmfFjlPQI7kpiKYeB951SKBQKRROn3YzapvDhG0ps2Iw2XMicDZclLfrgYUYwyOGJd7fg8Xe2AIDKyLrnN7Nx5WljAfDhwi/XHsKv7/kGD7+5CYcbOmRju73yG4Kaxk6s3lYLQO55SgTS5PfuJNSSI1Aji0KhUJKUusZOeH1BvLt870BPhTJEWbq+Stxu6/TCJxhZGakW/OXSach22ZCRyhdztXV58frS3QCALfuO4pE3N8rOpRQH/WBFSGLhpJkjEjrvaUy2uE09WRQKhULpMR+vOjDQU6AMUT5ZHfpu3fjYCjz/6U4AwLkLylBWwHv+nHZe40z5PTza6sGBmlCOlUdh7BApiDPnlaAsP7FexDSHGU/eNB+AWiIimaBGFoVCoVAow5RwLW6kUg4p9vDVgE+8uxkAcNX932LV1hoAwNnzS2VjnLa+Uba3CO11Nu89isrqVrAHm/Dre77BzU+uTJqCEWpkUSgUSpJy489DffZobhalLxiR49TcP310KBznjCC5EAhyCAY5WS5XrkIctK+MLKkw6ouf78Qb3+wBwBuIHySJGjw1sigUCiVJWXJMsbgdDHIRRlIoPSOckGemJFFdrw+v7WU06FXJ8sW58kpCpsjVixlG5urTxwHg9cdSHaHWTg0tydGOihpZFAqFksQsnlYIgIobUxKPzx9AZTWfUyXVSJ3OuCMaVga9DjYLH6orynaqjCy3y4Z0SVu5NGfftZibOTYHZpMeXJBDqj1kZKUnSVs7amRRKBRKEmMSmun6A9STRUks63eFlNKf/cNx4vaJGpWAd/z6GHF7GuPGzT+fAoD3eEm/m0um8zcFd10xE+cdV4ZnblmQ6Gmr8PqCOFjXjsa2kPeqODclonp9f0HFSCkUCiWJMQqJyT5/8papUwYnnMQBZdDr8egNx+JgXbtmJWBRthMXLh6F15buxjkLyuD18d/HgCQfa/a4HFy0pAIAYLMYcfKsYtV5+pLt+5vE7beW7UFHtx+Xnshg4ZSCfp2HFOrJolAolCSGeLJ8EZS4KZSe0O2TG+4pdjPGjcwIO/74GUX4722L4HbZYBCM/0AwKPY0NISpVBwISKeEl79gB3QeyfOOUCgUCkUFKbH3+2m4kJI4gkFONEBG5sbf8sYg5Gwt31SNO15YCwCwmAyJm2AckBBlMkKNLAqFQkliktGTxXHU4BvstEr6EJLiingwG9Xmw8/mjuzNlHqM3RLKfLrslNEDModwUCOLQqFQkhijgfcYfP7jwYjNe/uLmsZOXH7vMny38fBAT4XSC9o7Q2KdUk2sWHFoaF9Jq/v6E2lfxIGaQziokUWhUChJDPFkVVa3YsWW6gGeDbB6G6/q/eLnA5vrQukdxDN60jEjehTmMyZR/pVU0ytZlN4JMVUXMgyzBMDZAOoAcCzL3qE4XgLgAQBrAUwG8CrLsh8Kxy4BMAVAAMBelmWfSdz0KRQKZWgjXczaOrwRRvYPQSFUqAsvo0QZBBDdNaOx5x/kE7+bh0N17bj31Q3ISbclampxQxpYA3IPXTIQ1RRlGMYO4GkAN7EsezuAiQzDLFYMuxXACpZl7wFwL4AHhecWArgFwC0sy94K4AqGYUYlcP4UCoUypEmRhD9MxoFJLJYSFCKWemplDWoO17f3+hx2qwnMiHTcdvFU/O2X0xMwq54hDRcWZmu3CRooYvH3zQZwgGVZor2/EsCpijG1ANzCthvAemH7RADrWZYlWZI/ADi559OlUCiU4QUzItSSJFKj3v4i5MlKbiNr894G7KlqGehpJC0vf7kLALDsp97n1lUUuWCP0N+wr5GGO8cUp+Mfvz4Gj1x/LDJSLThtzsgBmxcQW7gwG0Cb5HGrsE/KQwDeYxjmIQDHALgzjufKSE+3w9gPd2tud/wlq4OZ4XS9w+laAXq9Q52c7FRceeZ4PPf+VmRlOgb8+q3CYmow6PpkLok4ZzDI4ZF7vgEAfPTgGb0+X18y0J9np8ffr3Poq9e69txJAIDs7FRkZ6cCAF78n5P65LXiIRYjqw6A9F1JFfZJeQHAv1mWfY1hGDeA3QzDlArjyhXP3RPpxZr6odO8252C+vq26AOHCMPpeofTtQL0eoc65Ho9XXyeSVNzJ+rqWgfUi9QuNBTW65DwzyJRn29TW6jp8UC/X5EYyO9zRZELuw414+rTx/XbHPryeqeVZwJI/HcyFiIZjrGEC38AUMwwDMksmwvgE4ZhMhiGSRX2FQEgZS9NAILCub8AMI1hGPINnw3gs/imT6FQKMMb0qx3e2UTLr93GZ54d8uAzSUghAsN+vDLx5drD2Hp+qr+mpKK+uYucVtqcFF4Orp92F/dCgAYVeiKMprSG6J6sliW7WQY5hoAjzEMUw9gM8uySxmGuQ9AI4B7ANwE4HcMw8wBUALgzyzLNgAAwzAPAHiYYZgAeG/X7r66GAqFQhmKEHVtIuHwk6Sxb7xsq2xEW5cXs8bm9uj5AaEZMDH8tHh9Kf8z3xORy0QgNbI6PX6EbxQzPLnx0RUIchxsFiNczuTSlRpqxCThwLLsVwC+Uuy7VbK9AsCKMM99BcArvZgjhUKhDGsiGTTx8uAbGwEAM8fk9CiMFhDKC4nh19TmwX8/3YHzF5ajKEkqu9okZfx7qlpQ6E6OeQ00n/ywH+98t098XOh2JG0odaiQPGpiFAqFQtHEoGFkLfupCgdqep5/4vX1TD2ePI/M6YMV+7CtshH/en+ramx/tt/x+gLYuu8o/IGgrAXRS1+wWM/23PM3lJAaWEBI6JbSd9B3mEKhUJIcLSPr5S934b7XNvT4nD1Vxvb4ArI5+YXwoV8QtwxKDCuvv3/aAG3c04DfPPgdHnpzE9axdaLQJoE91CRur91Zh3U76xAIBlFZ3Sqb73AjGBy+195fxBQupFAoFMrAES5c2OXxo6PbB0eMGkVSz1J7l08m4hgrXsHIInMKzUxubAFAtzfQo5Yt8dDS4cVjb28WH1c3dMLnD2iO7ez24SnB43byzBH47MeD+OVJDBZMLujTOSYLJqNeZoCet7A8wmhKIqCeLAqFQklytDxZhOsf+T6msJzPH8C7y0Phoo5uv7jd2uHFX//9I1Zvr4l6Hr/g/RBfUpgaebh80xFxbGNrd9Tz9ZbaRrnsz0er9mPlFvl1kLDYS1+E+i2u3ckrEe2OIFgaCAbx3vJ9aJAk0g9mpGK2d185EyV5qRFGUxIBNbIoFAolyYmW+B6IIezzzU+H8ckPB8THHYL2lj8QxOrttTjS0IFnP9yOts7I/RFJdaE/EER9c5do0BCja9OeBnHsnS+u6/O8rHbhOuZNzFPtu3AJ38XNLAhcb5TMjYQyzRHyklZtrcFHq/bj7lfWhx0zmCBeLIfVCJfTEmU0JRFQI4tCoVCSHINGBVhxbkgAMRYjixge4mMhJ+uVL1lRcgEAGlsj60oFhKTyhpZu3PvqT6rjHkVCfSxzi0RtUyd+fc83+GrdIdn+XYeacddL61AjeLJSHWopgpJc3lPzwYpKeLwBlBekicdahWbbxghGFrEPW9q9Yi7aYMbjC6A4JwUPXXcsbBaaLdQfUCOLQqFQkhwtT9YFi8pRls8bEcS7FAllyLHbwxsNyzdVy/ZHM4r8kuNSg4wkUXt8AdgsoTysWOYWiY9X7QcAvPa1XGLxsbc3Y9+RVrz/fSUAIMUmz0tLtZvgSgkZXnuOtGgmepsjtHGTVt+xB5vjnnuyEQhwMBp0tKqwH6HvNIVCoSQ5BoP8p/rff1wIZkS6GPIh2lWRUC6svkAQm/ceVY2Ldi5/QPs48ZQdqmtHIMBhcnlWzHOLRH2zdl6XXqxuFEJgCiPL5bQgK82GUsEQ9XoDmgZkJIOjpT0UOn1v+b6w45KRYJDDTY+vwK/v+QZNbR5wHIdAkIuY30dJPNTIolAolCRHujDefMFk6IXwocHA/x9LSE7ZBsfnD+KRtzapxkXzPIU7brMYsWzDYQB8vhOZm7+X4UKnYDzlZdpl+61muQfKlSLPMSLhsDnjeWV7XyAYxpMVfhmskyS8H6htw3UPL8dV93+LPVUt+HF7LX7YGr1QYKDo9PjRIoREn/9sh/gdURrslL6FvtsUCoWS5OglOVkFWQ5xmxhfMYULDXIPRjiP1NMfbI2ooeUP45lq7/LhZUn1Xjxzi4TFxC9TXR6/bD/xUBGcVhP+/qvp4uN8N/8+EU+V1xfUNEaNGkZHW6cXrR1e+BR5WJ0eP/yBIP75yno88+E2PPfx9qQUOv38x4O49/9C+XJGvV5iZFFPVn9CjSwKhUJJcqQ5WU5JWIx4p6KF5KqPdqhympSCnaNH8I2CWzt9+GTVAYTDH4PAqNGgi3lukQhyHPYe4RsZt3bIDT+TwjiymA0YmZsq9ksk1YZk3H8/3YEuj18VLtPqKnPjYyvwu8dXxCSm+uR7A9esW4turx9vLtuDww0d4r6NexrwvSCtYYzQ2JuSeOi7TaFQKEmORQiNpdhNMs8L8Uo0t0eWXdDKvZJ6shxWIzIlwqRGY3hvhz8Gz9TP5pbEFcoMx9J1Vahr4kN2QY6TGYY+hSeOiJ6ev7AcD/x2DkYKlYVSMdTapi6VURVpekpDNBwPv6kOuw4Uuw5pJ+i/qjCyKf0DNbIoFAolycl22fCHC6fgf6+aJdtPxCTf/m5vxOdrKbtLDQizySBKIQBAit0cNpyoNDwsJoPKO2Q06ERjMBajLBzb9zfKHje28Unw2/Y3Ys2OOtkxp43PwTIZ9bLrnVSeJTNM/QEOf750Gk6fOxKAurUMkXYAQrpa0sbXowpDMhBjitMBAFv2qY3YgaKjyx/xeGVNaz/NhAJQI4tCoVAGBWOK02FXtM+ZNzEPI7Kd2FvVElH0U+uY1IgyGnSYUJopPn7t69246v5vZcKkPn8A/3p/q6rX36iiNOgk7iGmyIVFUwolOVk9Dxcqk+YbWngj68HXN8r2X3x8BUxhpBj0eh1Omlkk21dekCbmdCnfmy/WHlSdY9a4HHFbev0TyzI19w8kyzYeFrdPnjkCT940X3b83AVl/T2lYQ01sigUCmWQotPp4LSbwCFyWE4r7CXdZzToceqcYplYJwBUVreJ27urWrBOaEUjNciYIpdoqJw8awT+ePFUWMwh71ZvwoVliuT2lVuqVWOeunmBmIcVD6SY4K1v92LngVAD6Q6FaGua0yzL/1o8NfRaZZL3i7QQqm/uwguf7VQl6vcXe4Q2QafOLsZ5C8tVoqOk2pLSP1Aji0KhUAYxxACIlD9E8pcqilx46uYFAIANu0MtZkxGPQx6Pc49Tu7lkDZalnqrpNpS+VkOMTFfGjZMRE4WyUU76ZgRAIDV22oB8Dlk4pgYGlAvmR7yZM0ay3uldJK53vfaBrz8BYuv1x2SVXICwK9PGYN5E/Mxb2Ie7r5yJmaNy8UTv5uPp29egPKCNIwvzQAQ0tR68r0tWL7pCD7+YX+cV5tYpJ/XJSdUAADmTsiV7af0PVRXn0KhUAYxpC2MLxCELcwYYoAtmVaoqsoDgNnjeO+G2aTW0qqsboXPH5SFFw16Hf586TSs21mHSWVZ+P35k/DWt3uxZFqRZIxQXdibcKGQz5WdLr+yomwndsahwJ5qN2NyeRYO1bXjAqGfodI4IxpfSk/PuJEZ0Ot1uOyUMeI+u8TIKy9Iw9Z9jej28gZpgyCe2tYRXgajP5Cq7i+aWohFU+P39lF6DzWyKBQKZRBDvEqRpBWIgWQ06mVyEG6XFfXN3ThhRpFwLrnh4fUHceeL6wAA1509QdxfWd2K8oI0MbzIjEjHX38xXfZcYwLESImBlpsREiLt9vrFeV571gTN52lx3TkTwHGcaPy5nOpehwDQ1hkyjowGXdTm3FazUZwXwGtpAZGV5PsSo0EPfyCI4yYXDMjrU+TQcCGFQqEMYkjlnFLSQArxZJGFv0AQ6vQHOGSmWsUQkrJK0CsR45TmGDW1RW4iLT3X0nVVUceGg4QajQY9jp3A6161dHhF7a1J5Zlhn6tEr9PJVO9JSyIlpFLwnAWluOvKWZpjpBDl+dXb+VAmyYFqbo/+HvUFORk22C1G2gA6SaBGFoVCoQxiiOEUKSeLeLJIqDBdaEHT7Q3IFMBT7PLqxVZJdaHUaIglz4qE+jbuaQhb3djeFTmkRuZtMOiQJnieWtq9oop8b/rwSWUdjAoVdJfTjFNnj0S2K1wANgSpwCTK72ROR1u1ey72NT5fECYTXdqTBfpJUCgUyiDGJOpRRTCy/CGPEACYhXBbt0IB3WE14dqzxouPt1WGqu5qjoZ0tGLhQE2oMnHFZnVV4F0vrsMNj34vS65XzVtiTKU5eCProTc2ghUENxOVxP3AtXNlOVrxeIGUifIkbNjYOjCeLK8/ELEfI6V/oZ8EhUKhDGJi8WQpw4UkxMVB3TiaKKUDfO4VYZ+wbTTocdP5k6LO67gpoZyg5z/bqdKROljXDgDYJUgOaCENFxJNqlha3cTKdWdPwM8XlSPVbsYjNxwr7o9V6R0AsiTerobmLtEwJInw/cXewy14//t98PqCohFNGXiokUWhUCiDGNGTJRgGldWt6OyWazSRfC0SFkt1hJK+q+rbZWMz06y464qZqtepPtoJnQ548qb5Mp2scEiFOgHea6bFI29uwo4DTahv7lId80vmnZ1ulx3LlzTK7ilTK9w4UZCHkHqyIuW3KZnOuMXtW5/+Qdz2B4IRBWITzd0vr8eHK/ej0+MfsKR7ihr6SVAoFMogRirhcKCmDXe+uA4PvylXRFd6slLt2pV1hPwsB9wudSuezFRrjxfw9m5tIysQ5HD/axvwx6d/QFObPI8pIBpZenFehD9fMq1H84jEkum8zMEFi0bF/JxIIcvetBTqDVIdMcrAQo0sCoVCGcSExEg5vPTFTgDA3iPy/nTKxPe0MPIFUmxm9UIt9YDFi09Sqbh6e43mmP/7fKfYzHp/TSt+EMRHSd6Y1MCzmBO/fP18UTke/908zBybE32whNsunip7TFr2RMqTSyQeRWhyZF5qmJGU/oYaWRQKhTKICXmyArI2OHc8v1aseFN5smIwlqwayd8pNpPGyNiQhuCe/XC75pgvVh/AI29twkcrK/GPF9aJ+w2CcWgzh0J6ylyyRGDQ6+Gwxn+NowrTZOKfRKw0nrBjTzlQ04ZrHvpOtk+aV0cZWKiRRaFQKIMYaVud8SUZ4v4DtW14+UsWgDS3SfBkSYysv/xCO+wmNWgIaWG0pcJxwzkTxe14ksnf+75S9pjkSxW4nXG9fn+h0+mQIgnBOgVjtD+S3zfsrlftS+uFx5GSWKiRRaFQKIMYo1FQVg9w8PgUYaPcFPgDQdQ08knrxOslXYTL8uVNoQlExsBo0ItGDtHXipXJo7IwbyIvIrpjf1OU0eEhQCNdJwAAGeZJREFUHrjinJQen6OvkVb05QhJ+nVN8cle9AQtuQmrhoFMGRiokUWhUCiDGJOBX1A/XFmJ3Qo5BIfViH1HWtHQ0o1pFW5R08kheFryMuUVe1JIuNAfCOKm8ydhfGkGjpc0Wo6V7wWNrPdXVIYdo9SaCkdxbvIaWcfPKER+lgM3nDtRNEab27xRnhUfgWAQV92/DP/+OBRu1SpgtFAjK2mIqQSBYZglAM4GUAeAY1n2DsXx/wCQtm+fCGAqy7L7GYbZD2C/sP8wy7IX93LOFAqFQhEgXp6WdvWC7vMHxV56JZJkaL1Oh8d/N0+meq5E6g2pKHLh90WTezS/X508Gi98thOLJQ2KLSaDzOtWnOvEwdp2TSV5aa5ToduBcxaUyq4lWZg3MR/zJuYDADbvbQAAtHQkVpD0aEs3/AEOq7bW4IrTxgIAOrp51fzrz5kAry+IDbvrkZmqrgylDAxRjSyGYewAngYwjmVZD8Mw7zAMs5hl2aWSYV+yLPuGMD4VwAssy+4Xjr3AsuztCZ43hUKhUACUF4Q3OPwBTlQgV3o3oiV4k7wiLSmHeMjP5GUXlv5UhVnjclBWkIYCtwP7JBWQBW4n8jMdWLmVrzosyUsRk/jPW1gujtPpdDh19shezac/SHPwniwtw7c3EKV7KUQTze2yodDtjLsyktK3xBIunA3gAMuyxCRfCeBU6QBiYAlcDuC/ksfzGYa5lWGYOxmGmdOr2VIoFApFht1qwugRLs1jG/c0iJV8UrHNWJg/KR+nzSnGL08a3av5SXsj3v3yegCAUZBkeOJ383DanJG4eEkFMtNCxtxRoSXNlFFZOG5yAQYbRCKjuSM+I+v7zUew97C2An6Q4/D8pztV+4mnsidVkZS+J5ZwYTaANsnjVmGfCoZh9ABOBPCIZPdtLMuuETxiPzEMcxrLsnvCvVh6uh3GfmgJ4HYnb2y/LxhO1zucrhWg1zvUieV67bbo1WTuTGdc750bwNUjMqKOi0a7T15V6HanwGA0QK/XobgoA1cX8a+RmlIrjjnruHK8+Ml2/PyE0YPy887IdEKvA7q8gajzJ8e7vX7RiHrljpNUlZxdCsV88jyfEGIdUeDSlN1INgbj59kbYvlE6gBI35VUYZ8WZwD4mGVZMbDOsuwa4f9OhmE2ApgLIKyR1dQP1Rhudwrq69uiDxwiDKfrHU7XCtDrHerEer2BCE2WCZ5u74C8d22t8nY59fVt8Hr90Osgm0+rRO193vgcTCvPhNNmGrSft9NuRn1TJ+rr23C4vh1/+88a/OGCyRgzMmS4ks+3rrkLD70eUun/v0+3y8KkAHD3S+tkj6trWmA06NHc2g2DXofWlk60Jahhdl8xVP9+IxmOsYQLfwBQzDAMMavnAviEYZgMIf9Kyq8AvEAeMAyzmGGYkyTHywHsjeE1BzVvvvnqQE+BQqEMIyIlsBPiDRcmCoNibtVHOxDkOFU7GrsQ7irOTYFepxNzwgYrLodZzMl64r2tAID7X9+oOfblz3eiTtK7saZR7WxQqvh3efzw+YPYd6QVNosxYnsfysAR1ZMleKCuAfAYwzD1ADazLLuUYZj7ADQCuAcAGIaZDGAXy7LSbqN1AG5nGGYqgHwA77AsuyLhV5FkvPnmazj//IsGehoUCmWYIM17CsdANQ12KYQx//Lcj6IhJWXR1AIYzQZML8/qz+n1GWlOCw7WtaPL40d9k7r5NSHIcdim0BBThga16PT48enqAwCA9i5f7yZL6TNiCuCyLPsVgK8U+25VPN4IYKNi3xYA5/RyjjLe/GYP1u4MF62MDYNBh4CkceeM0dk4f1F5hGcAn3zyIZ555kmceeY5qK+vA8vuwPjxE5GenoH29naMGlWBk046FR988C7a29vwn/88g3HjJqCm5gheeeVFvP32R1izZjXuu+9uPP74M/D7/fjnP+9AZmYW8vPzsWzZUvzP/9yFBx64BxMmTILJZMS2bVtx001/wOjRY/Hdd99g7do1yMvLw86dO3Dnnff06j2gUChDB9Lbj/CHC6fgjaW7cbCOv+edMz53wDSmzCYD7r5yJv7y3I/iPi7IQel4MRr0+PkSZsiEk4jga2uHF6X5qdgTJqH945X7Vft2HpRXEQaCfF5bcW4KKgpd+GrdIXR5/Kiq70jspCkJ5//bu9P4qqpzj+O/kwSQBJEwyZSE+QkCWqsgKF4EK8WRQS7VIohFW0G00n4UrRNttYMT3hZ7ybUUUBzKYKlwi3hr6dULKtIqCpTFYABLIBAICqQQhtwXeyecYAJkONPO//uGnM0+J8+TdfY+z1lr7bW1GOkZuvbaG8jMzKJbt/OYPPlhBg68iiNHjnLbbXcwceK9vPji7ygs3MuQIcNp1Ohsxo37Hn36XMrQoSPKXqN37z60auWtfpyRkcn11w8lFAoxYcL3ee6535CV1YHLL+9PWloa99zzQ771rVEsWbIYgDff/G+6d+/BqFG3MnLkzTH5G4hIfDp5SK5bVjpNwlZnH3VV1zNe8DMSWjdL49IercoeHy8piWk80VB6f8gvDhaXFZTtKrgtUGWdBu+sziu7HVLpsGPj1Ppl90X8eGMBndt6q/XfOaR7rcYutSf+L0U4yciBnU/b63Q6NZl8l5XVAYD8/Hz27CngpZdmAdCxYyf27NlDenrVrsZp3957vbZtTyzUl5GRCUCTJk0oKvLG5idOnMScObOYP//39O17GT16nK8xeBEBTiyJEK5+2PBgPKwAHh5DSQlf6ckKmtI5ZQf+dYRt+V6PYmmPVLjw+VftWjTin7u9fWctWc/+omKu7due5+Z9AngLj9av57XrG2E9YE3P1uKj8Uo9WVVUWth07tyFjIwMRo8ey+jRY7nqqqtp3bq1v4/3Z92wwbsctyTsvge7duVzOhUVT7m5nzF58sPk5Mxk1aqVbNjgapyLiARD+ELpndt5vRv1wpbCiYdeo3phvW3bCw5y8NDp5x0lstIep0UrtpStbr9jTxH7i8qvnRW+yv1PxvVm+L91LHu8ebs32b208Pos70tSK1imIVbz7eT01DJn6MMP3yc/fycLFsylsLCQ664bAoSYMSOHnJznyc3dTFqa1xVsls306dNYvvxdAAYPvpapU59k4cL5pKamsXDhAvbu3cPy5e+wevVHrFq1EoBt27ayevVHLF/+DgUFBSxd+ic2b97I+vXrWLv2U3Jynufll2fToUMnOnbsVFmoIlLHvLM6r+znay7JAqBBvfg6vX+zd2asQ4iqNL/I2rqz/KjJL17+e9nPRYdOTFgvXVm/ZXrDsm0lJSUsfPezcs/v270V3bLSy20LX8hV4kvCDRfGSq9efZg3741y2+6+e1KF+z7++C/LPb7jjvFlP4fP0XriiafK7ZeZmcWvfjW97PGDDz5a9nN29nlVD1pE6pwkv7aqF4VFnasi/ewGzJg8gHG/XBbrUKIitZIV2Hfs8YYHdxUW8cAv/gJ4f5uHxlwMQPuw+zIeOXa83LAgeBcSDOqVwT+2elckhiDhl7sIsvj6qiMiIjVS3y+uanrPwUgIhUJc0KlZrMOIipRKltUoHblduvLzsm3/dkEbGqd6E+VbhPVKrTtpaYeJw3sC0Cj1RFH1zMTLaiVeiQwVWSIiAdLc/5DOzkw/zZ6xUTpnrHQ4Lag6tTmnwu2lSzuEz5M7HjYvKxQKcVHXFhU+9+v+9o6tG3PLoK48NOYimpx0+x2JLyqyREQCJL2x96HbtkUaIwd05v6bL4xxROV946IMemW35K5hPWMdSkQlJYW4z//bjxlsXN3Hm5NW2mMVCvv07dS2/M1Txg/rccrXDoVCDPx6u0oLOYkfwf4qISJSB9w1rAfP+7duSfYnZYVCIQZfEn+TzRvUT2b80FMXEUHRLSudafdeXjY/652P8zhWUkJJSQlrc/eW7Xd+p/Kr3CeFQvTtfi7vrT1xNfpNNVy6SGJDPVkiIgnu3KapsQ5BKhE+Ab5eShJHjh5nxZqdZRPgRw/qWuHzbrumGxPCitFBdezqzKBQT5aISIIrXTupdTMVW/GstMgKv9lzy/SK2ywlOYmLrAVD+3WgR8e6cbFAEKnIEhFJcE0bn8WPv9ObZo3j74pCOaFeSjKF+4t4b83OsG2VDyiFQiFu6NchGqFJhGi4sAbmzn0los995ZWXmD59GlOmPMS2bVur/btEJPgyWjYqW2Vc4lNewUGOHispWwEetFp70CXcEfn6psV8tOvTGr1GclKo3K0MLmzZk+Gdr6vy68yd+yojR367WjGcyXPfeON1XnllASUlJbpPoYhIANVLVpEVZAlXZMXKtm1bePHFmbRv34Hc3M107NiZAwf2M2NGDllZ7Tl8+DA5Oc8zdOiN7N69i02bNjBlys+YNm0qPXqcz2efbeKmm26hSxfjj398vey53bv3pE+fS7/y+5YsWcy+fYXMnPkCvXv3Yd6818jL206vXpewevVHXHHFQC6++BJefnk2nTp1ZuvWLYwZ8x3atm2Hc+uZMSOH7OxuFBcXs2zZ/3D33T+gX7/+MfjLiYhIZY4c++pNoyU4QuE3L44Hu3fvj3hALVqcze7d+0+/Y5i5c19hy5ZcJk26n927d1G/fgPuvPM25s9fVLbPxInfZdSoMfTt24/169fRtGkzCgsLMcvGufW89NLMslvujBhxfbnnViR8nx078hg/fhzz5y+iuPgwBQUFPPHEFCZOvJeePS/g739fxbx5r/Hznz/N7bePYdKk++nevQcffvgBr746m2ef/U0V/0qJqTptm8iUb7Ap32DJKzjIw7/9APDWMeuSmc4tV3YhKalujFQEtX1btDi70gZUT9YZuv76YcyZM4sJE24nMzOLu+/+QYX7ZWV5kxSzs89j7949vP32Ut5/fzkHDx5k377CCp9zptq1yyAlJYWUlBQyM9PYvHkjK1e+z8cff0Rx8WFSU70bi+bmbiYjIwOANm3a1uh3iohI7WjTPI0b+3ck9ax6DLiwbWCLDjlBg8FnaN26Ndxyy1heeGE2TZs24803F5OUlERJSQkbNqwv2y987tScObNo2DCVW28dx3XXDSn3eiF/ud/w51ZV585d6d9/IKNHj2X06Nvo27cfAO3bd2Tbtm0A5OVtr/bri4hI7bq2b3sGXKgvv3WFerLO0JdffsGvf/0sbdq0Zd++QoYNG8HOnTuYNu05jh8/zhdf7CM/fycLFsxl1KhbSU9Pp3//K8nJmUZxcTFHjx4lP38nq1at5OKLe2OWzfTp02jQoAFdu2Z/5fe99dYSDhw4wKxZv2XYsBEsWrSQ/PydLF78x7KC7YEHHuG11+bQunUbdu3KZ9CgawC4774HeeGF6Zx3Xnfq168f1b+TiIiIeDQnK+B27Mjjqace15ysgFK+waZ8g035BsOp5mRpuDDg/vCHeWzfvp0VK/4v1qGIiIjUKRoujLGioiL++te3y21r2LAhAwZ8o1Zef8KE7/PYYw8H8tuDiIhIPFORFWOpqalcc831sQ5DREREapmGC0VEREQiQEWWiIiISASoyBIRERGJABVZIiIiIhGgIktEREQkAlRkiYiIiERA3K34LiIiIhIE6skSERERiQAVWSIiIiIRoCJLREREJAJUZImIiIhEgIosERERkQhQkSUiIiISASqyRERERCJARZaIiEgUmJk+c+uYQDa4mbWMdQwSOWbWItYxRJOZZcU6hmgys7axjiGazKybmTWKdRzRYmbZZnZZXSk4zKynmT1vZmnOueOxjieSzCwz1jHEm0Ct+O6fqIYC/YDNwHLn3AozCznngpOoz8waAk8BbzrnFptZsnPuWKzjihQ/3+HAtcA/gN875zbENqrIMbM0vFxHAxuApc65t2IbVWSZ2RjgAeBHzrmFZpYU1A8mM2sC/AjoD4xzzq2JcUgRZWapwDXAN4FFwDLn3P7YRhU5fvtOBvoAu4AfO+fWxTaqyPA/e28ARgDbgD8F/Vx1poL2TWIkcByYApQA95mZOedKzCwU08gioyeQATwD4Jw7FtA8MbOLgGnAFuAh4DLga7GMKZLMrDvwX8Bu4LtAM6Ct/3+Ba+OwXo1k4G/ACDNr5Jw7HtB8LwD+hPdl4VJgUx3o2bkcKAC+B6wDjppZCgTvPW1mVwEOyANuBNbgFVqBY2ZnAfcDh4G78I7hZjENKo4E5qD2T1A3AWucczuBV/F6s+4DCFJPVtgJqQkwDthjZg/52wLTpifZC+QCK5xzucC7eEVmUOUCu51zy5xzO4BC4JhfeATmvQze+zmst6ol8A6wH/i2mTULWr6+DcBfgQ+A2/G+OPzGzEbGMqhIMLOQf84agvfl9yZgDPAkXk9PoM7PvveAp51zv3bO7QVCwNUxjimSRgOb/HPVPqCjmXWIcUxxIWE/kM2sg5l918waA/gn6b8Bj/q75AELgUZmZjEKs9aE5xt2QlrhnCsAfgzcY2bN/d6shG3XUmH5nuNv2gFMC8t9I96HVCDmaFXwfi7C65HFzC4HmgLdgNlmNiBmgdaSk9/PZpZsZvWA7cBs4DPgTuAH/v4J3dNRQfv+C/hf4B68YeBH8Hp3hptZwvfQnty+/nG7BvglsMo59yheT96VZnZFLGOtDRW07wHgP/z/S8I7X23wHwftvXwIr1Pjp2Y2B6iP15s1y8wGxzDUuJCQH8ZmVh+ve3I43rejUnOATDMb7B/U2/F6QPZFP8raU1m+/oGMc24pXsHxhP9fqVEOsVZVlK9z7pBzLrwduwHLzawbcHP0o6w9p2jf0nw/ds7dCjyGd6JO6K74Str3mHPuCN4w8LeBFsBaINnMuiZyT8cp2ncp8Cvn3BZ/00LgIFAU7Rhr0ynOz0vxjtuL/cfvAiuBI1ENsJadon2L/X+PA82Bq/zHQXwv/wivg2Ozc24y8FPgbeDsWMQZTxKyyMKrlD8B/gz0NbOO/vaNwCxgqpk1AFoBKXhd1Ins5Hw7wFcuB34QuMPMZgLnRj/EWhWeb5+T8/UnWZ6Dd5DnAIcT/NthZe1bmlOa/28vIBtYH/UIa1dl+TYD/gnsxBs+Wwf8O3B5ENsXwDm3zsw6+w/b4n0oHYh+iLWqsvPzFuAnnBht6AFk4o06JLJKj9+w9+0bwIEAjDJU+l7GK6DH+j/3xWvfRD9X1VhCXF1oZtl4lfOfgXXOuQNmlgxcAIz3t00N239K2NNz/HHihFGVfP2DuAHeFTtXA1Odcy42kVdPNdp3CPAiMAOY4ZxbG4Owq62K7dsQb9jsfLzeyr845z6PSeDVVMV8051zhf4w8XXAB865TbGKvTqqcfz+BOgILMO7UvifsYm8eqpx/D4JFOP12M12zm2PQdjVVtV8/ecMA1Kdcy9HPeAaqOJ7uSnwn8AhYDXe1d8J1baRELdFlj8ZtsTMxgON8SYC9wfSnHNjw/a7B69inuqc+0fY9hTn3NEoh11tNcnXv0KnsT/BMiHUMN/LgAzn3GvRj7x6aphvF6CFc25F9COvnmrk+1z45e2WYMuu1LB9M4A2zrkPoh959dQw3ySgvj+XJyHU9PMokdTk2DVvmY5z/YuThDgdLvS/3TX0HzbB+3Y3F6+b+UYzGxS2+zy8b0VPm9ld/pgxiVZgUfV8nynN1zl3NNEKLGqW7/JEK7Cofr4NnHMbE63Aour5PnXS8ZtQBRY1a9/PE63AombH7/FEK7CoQb7RjbZmavjZ28A5V6QCq7y4K7LMrC/wLF7DdceroLMAnHN78Cb/Ph32lGS8OUgfAy+WTjZMFDXI9yOUb9yrhXwPRzfimtHxq/ZFx29C5lvX3svREjfDheZNZp6CN3l9LvBbvMbbB0x0zmX7+zUA/gBMds59ambNgbMScB6D8lW+ylf5JgTlG9x861KusRBPPVmlSy782TlXiLf2U2/n3DS8lYHv9fdrhnfFwjoA51xBgjay8lW+oHyVb2JQvsHNty7lGnUpsQ4gTBEw35W/cuo9/99HgMFm9hTwJfA3l/j36FO+ylf5Ji7lq3yDkm9dyjXq4qbI8ie6hjdyFt59vcBbm+NneAsU5vrjwwlN+SpflG/CUr7Kl4DkW5dyjYW4KbIq0BrYa2av4t148i3n3NYYxxRJylf5BonyVb5BUpfyrUu5RlzcTHwPZ2atgBXAp8Bcl2ALuFWV8lW+QaJ8lW+Q1KV861Ku0RKvPVnH8VbzfrqOXBaqfINN+Qab8g22upRvXco1KuKyJ0tEREQk0cXTEg4iIiIigaEiS0RERCQCVGSJiIiIRICKLBEREZEIUJElIiIiEgHxuoSDiMgpmdllwOPAeXg3rk0HGgEznXPzT/PcscAVzrmxEQ5TROow9WSJSEJyzi0HZuPd7uNO59y3gNuBR8xsUmyjExFRT5aIBIhzboeZ3Q8sMLPXgeeBtUAzYJVzbrqZdQFuAdqa2TRgkXNuqZndA3QF/gU0ASY55w7EJhMRCQIVWSISNB8CaUBL4Bnn3DIAM/vEzN5wzm00szl4w4UT/f+7ErjBOfcN//HjwP3AozHJQEQCQUWWiARVEnCFmd0MFAFNgU5AXgX7Xg00N7Pp/uPmwI6oRCkigaUiS0SCphdwEBgIXOicuwHAzL4GJFfynBDwnnNuvL9vCEiNQqwiEmCa+C4igWFmrYAngcfw5mHt9bcnAe3Cdj0EJJtZyMxuBZYAA8ys9IvnUODeqAUuIoGkG0SLSEIys77AT4EewHy8JRzOAV5yzv3ezDKB14CNwB5gCPAJMA5oCCwANgF/cc79zszuBS4FPgfOAn7onDsU3axEJEhUZImIiIhEgIYLRURERCJARZaIiIhIBKjIEhEREYkAFVkiIiIiEaAiS0RERCQCVGSJiIiIRICKLBEREZEI+H8f4IUCRl8oIAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "data[['returns', 'strat_freq']].cumsum().apply(np.exp).plot(figsize=(10, 6));\n",
    "# plt.savefig('../../images/ch15/strat_ml_06.png');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Classification Algorithms"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 57,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn import linear_model\n",
    "from sklearn.naive_bayes import GaussianNB\n",
    "from sklearn.svm import SVC"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 58,
   "metadata": {},
   "outputs": [],
   "source": [
    "C = 1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 59,
   "metadata": {},
   "outputs": [],
   "source": [
    "models = {\n",
    "    'log_reg': linear_model.LogisticRegression(C=C),\n",
    "    'gauss_nb': GaussianNB(),\n",
    "    'svm': SVC(C=C)\n",
    "}"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 60,
   "metadata": {},
   "outputs": [],
   "source": [
    "def fit_models(data):  \n",
    "    mfit = {model: models[model].fit(data[cols_bin], data['direction'])\n",
    "            for model in models.keys()} "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 61,
   "metadata": {},
   "outputs": [],
   "source": [
    "fit_models(data)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 62,
   "metadata": {},
   "outputs": [],
   "source": [
    "def derive_positions(data):  \n",
    "    for model in models.keys():\n",
    "        data['pos_' + model] = models[model].predict(data[cols_bin])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 63,
   "metadata": {},
   "outputs": [],
   "source": [
    "derive_positions(data)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 64,
   "metadata": {},
   "outputs": [],
   "source": [
    "def evaluate_strats(data):  \n",
    "    global sel\n",
    "    sel = []\n",
    "    for model in models.keys():\n",
    "        col = 'strat_' + model \n",
    "        data[col] = data['pos_' + model] * data['returns']\n",
    "        sel.append(col)\n",
    "    sel.insert(0, 'returns')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 65,
   "metadata": {},
   "outputs": [],
   "source": [
    "evaluate_strats(data)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 66,
   "metadata": {},
   "outputs": [],
   "source": [
    "sel.insert(1, 'strat_freq')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 67,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "returns           0.810644\n",
       "strat_freq        0.989513\n",
       "strat_log_reg     1.243322\n",
       "strat_gauss_nb    1.243322\n",
       "strat_svm         0.989513\n",
       "dtype: float64"
      ]
     },
     "execution_count": 67,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data[sel].sum().apply(np.exp)  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 68,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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NSssDMCd6DDrvAzRxWAq6lT9SLLGUAMqVKCLVciqUKKLVMvr1jyQvU9tmPVYiKTTqCNpgKvG2uW2qRfIc38aU9tu3b8VkMnHHHfPIy8vFZDLz5ZdLmT//Yc8+q1evZMSIkTzwwM9ISzuC0Wjk/vsfwmIZjtWaxvvv/4sXXniF2bNv5oMP3vU5tik7dmzjyJFD/OlPrwHw61//kp07t+N0Ojlz5gyvvvoPz37XX39Dg0AKoH//FGbNuolt27bw6KO/YvbsW4iOjuE3v/klS5Ysw2wOY9GihSxb9gXXXns9b731Op99tgKTycQ///kmKSmpEkgJEWBOResXZWhlMKXoQEWPqqooSvM1VE6dgXCd3bNsMJuIcldSSkSLzyFCW0VNzdS064eRZc30rDcqgZmKLljJv5R6Zs2aQ3x8Ao8++iCLFi3EYPD/ZZaaOhCA4cNHYjAYWL9+Le+/v4j169dRXFzUpmunpx+nb1/vJKP9+vXjxIljnDyZTv/+/T3r6+7TmAEDtPIlJ/cjM/MMoGPJkk/54IP3KCsrxel0kpl5lri4eEwmU4vPK4ToOJUFJXz1l2VkHsrwu11vNLbqfPqaLOlOm72ZPbV9VMWAod5D0axXURUDar3JlkVoqy4t91ken+zwWTYYDah15vI1te6jGfKaDaYsFksfi8XyjsVi8duByWKx3GGxWD62WCxPWyyWzywWS7fuTX3kyCHuvvt+3n77fRISerBmzUoURcHtdnPsWJpnP53OO2Lmww/fIzw8gvvum88NN/hOMFo75UPdYxszZMgwMjPPepbPnDnD0KHDGDBgEKdPn/asP3cu09/hjUpO7o/JZObOO+/mnnvu57bb7mTUqNEkJ/ejsLAQm83WpvMKIdrm3IHjbHxnNf/5ZBNZzlg+XbTT7356c+tqphyq9r1ka8FoPFtZJQDGek8Bfc1XW0sCMhE60v9z0Gf50nlX+izrjUYS+sR7lp0Sa/toyb/UnwDLgPGNbA8HnrVaractFssFwBJgRQeVr8uVlpbw+ut/pW/fZIqLi5gz51ays7NYsOA1VFWlpKSYnJxsPv98CfPm3Ud8fDxTp17JwoULsNvtOJ1OcnKy2b17JxMmXILFMpy33lqA2Wxm2LDhDa73xRefUV5ezjffrOHqq6/j8OGDvPXWAtxuN6NHj+HiiyfidrvZvn0rr7zyAn379sNkMvkEc3UVFhawZcsmysrKPGWIiYnhl798gr///VUSEhLIzc3lwQcfJjY2jv/6r8d4/vnfMWLEKIqKCklM7NXZb7EQ571lX2eifXVq7I18FRtaWTNVrIsB4MP3DvLIs9Oa3NdWXhNMGXy/SxQFUMFRbSMspmFXAhGaaueBjFbLuO2XVzZo4nXjZugVF5J7eh0HskyewF1omg2mrFbrUovFMq2J7e/VWRwCHGl/sQLniiuuajD58OOPP+Wz/Nlny32Wx40bz5tvvuNZ/vnPf+V5/cILrzR5vZtvvo2bb77Ns1zb4bwunU7HNddcx5gx4wDYvXsHSUn+m+QSEnrwxz/+ucH6KVOmMWXKtAbrU1JSeemlVwF49923palPiCCib2VbSpirkmp9y5IpemqmjL4PRb2iLTurpWbqfGErr2TP7hxQorEMjvQk5BwWW8GxEm2EaW2wddl913D0xbXYpZeQjw7pgG6xWMKB54FpwLyWHBMfH4HB0Lphv62VmBjdqefvSh98sIhJkyZRUVHBtddezZgxDTuJt+V+t27dwP79uwgPD8dmq2Du3Fsa7ScWbELp79sScr+hK9Zg83u/vfvGER7X8vfh4aen8/dXtwP+378P//sTMsqjeO7PMymoiaEiIow++xZUG0CBkh+zGXbRsFbeScudT39fCO77/XzRGkoVrXwxcZGess79/+Zy5sAJTu5NZ8TEEZ79HYoZB2YyNvzApbdNa3C+YL7XztIhT02r1VoFPGOxWIYA31sslkFWq9XR1DFFRZUdcelGtXU0X2eprKxkw4b1PuvCw8Mb1II15k9/+ofPcl5eGfv376vpXA7R0WGUlVUzdux4+vXr7+8Ufj388K98louKqlp8bCAF29+3s8n9hjabSyEnp4Qotdwnr09RqY3yJr9J6zGGeV76e/8yyrVzv/X0xzWZ0mNAp/PZ14iLKmDt5gKSLsjplGlDzre/b7Dfb2WlA9A+O06X26esYUm9GZHU22/5N2/JZtA03/XBfq/t0VSQ2KZgymKxJABOq9VaarFYfgO8arVa3cBZoCdaZ4DWfAWEvIiICGbM6Ni++ePGjWfcOK0rWyh/gIUIZdFqGeW6CP79ykrKlRjP+gkDVYzh5jaf9+yeNPpd2LCfJkC+O9bz2hTm+xi46JI+fL+7AlUxsP3TjUx98Po2l0F0D2FmPdSMWXDYm3901wb9lfpIsg+l8+XKM8SoZcz7Xbcef9YuLRnNNxW4B0iyWCzP1TTpPQs8WrOLGXjDYrE8CywEfmW1WmUuAiGEaESkqg1D762UEB/hxq3TezqP17r4juntusaRrccbrAtzNWwRcNp9s173HzvE81qrsRCh6IfPNvDJS8vZ9el3HC301j7G9Ipt4ijNzT/7ief16mVWAEqVaFzncTqNlnRA3whsrLf66Trb/9jRhRJCiFAWpndR4YbZT97A1g++heqOv0Z6eXSDxJsuXcN+qk6HbzAV2cs7/N0teRlD1s50QBfD7lPedZMsegZNHtvssZE94zyvTTqX5+NbkV8EfeP9HxTipDu+EEJ0MZeqQ+dW0Rv0REQ1bMozqh0TXRVmnPO83v/VZhxKw2v1SunR6PFOl0RT55OR113c6mNqO64DLH93OxVF52d3EwmmWmDJko8Dcmww2L9/Hw88MI89e3YHuihChISi01nYVAMGt9aEFhET7rO9r7GEnz7VsoEpzXGr3sneDxwpabB90nA9I665pNHjXa5GN4luLkZtGPSYwsP87OnfvPtGNVhXpkRzeP2edpWruwraMfBbv0snIy23zccregXVpfqsGzS8F5OnD271uZYs+YTbb7+rTeVoz7HBYNy48QweLHP1CdERCk9m8u9/Hwd9BOE1/ZciYiMB7yja6x6+utUTHNc165okVqzLAvDpw2LWuyivU9FkdlUx/ib/ncsHRpZxsiKaXoktf7iK7qXBNEKu1o3kjklKxOSqxq73/YwU55ael/M6Bm0wFSinT59i8eJ3GTBgICdPpjNo0BDKy8tYtGghqakDsNlsLFz4BjfddAt5ebmcOHGM559/kQUL/sbo0WPJyDjB3Ll3M3SohWXLvvAcO2rUGCZOnNzgena7nZdf/gPx8fFERUWzfv03XHrpRH7xiyd55ZUX6NkzkaqqKnr06Mmdd97NoUMH+ctfXuKXv3ySgQMH8ac//ZEhQ4bx7LO/YePG79i1aydJSUmkpR3lD3942e86f9588x98++1abrnldtLSjhIeHs7vfvffnu3bt2/h8OGDHD58kDlzbuPSSyd12t9AiFB1eMMhtDE7YFa0QCciIQbI9+zT3lQE/S60oKw5g6oYcFTZPOttLj0G7J5JlG368MZOwaBRSZzcWY408oUu1Q3UydcarrR+sEG4Ysdek1Lh2sviWbuliO3psP+lNdz/+xkdVNLuIWiDqcnTB7epFqlWW1MFbN++FZPJxB13zCMvLxeTycyXXy5l/vyHPfusXr2SESNG8sADPyMt7QhGo5H7738Ii2U4Vmsa77//L1544RVmz76ZDz541+fY+las+IqIiAh+8YsnUVWVFSu+4tZb5wIwefJPPFnL77//LmbPnsPo0WMYOlRLpBcfn8CUKdPIytL6RaxZs4rLL7+C66+/gYMH9ze6zp9HH/0lS5d+yuzZtzBvXhR33307JSXFxMZqHQ37909l1qybKCjI56c/nceyZWsandJGCOFfeZmd2mBq6GCtr0lkYvOjp1rLkujgaIGBld/m8MDwVHb8exPlShSRajlOTM0eXzvBssupNrOn6K4qVRPUGY8wYnjrO45HGt2UOEHndhEeGwkUAVClj8BWXtkpOcqC1flVD9cCs2bNIT4+gUcffZBFixY2mg08NXUgAMOHj8RgMLB+/Vref38R69evo7i4qMXXO3kyw5NkU1EUkpL6erYVFOSzcOEbfPDBe1RUVFBS0rDPQ12PPfYEBw7sY/78e9ixYxtut9vvusbExycQFaUl9YuLi6Oy0juMunaamR49elJVVdWqexRCaJx1gpMe/XoCEBbr7cCrqB0ztNxQZ/biXUs3czhPqz0wKy4GR2tpGaZPaHzePYNRe8q6pAN6SLKVV3qa50b3qua2W4cwdvZlrT5P/wHaj+3UyErC43w/T3nHzrS/oN1I0NZMBcqRI4e4++77eeihR3jjjb+zZs1KFEXB7XZz/LjVM1lx3VqZDz98j+joGO67bz6nT//IkSOHPNt0Ou1L7dixNL8THQ8cOJCMjHQAVFX11DIdP36Mjz76gM8+WwbAli2bPMdERERQWallWMvJyfasP3kyg2eeeQ6n08ljj/2MKVOmkZeX22CdxeI/kV9TNU3nzmVy0UUXk5+fT1hYGHFx5+fwVyFaS1VVsg6coPeIARRUGT21AVE9tBopRVH49XPT2PDBeoZObtipty1qgyGAqkoHtbVhkWYd1/z8hmaPr50T0OWSmqlQ9O9/fAdKFP1MJUx5YHabz3PhrVOx5BcT2TPOM3F2raPbj9PvQkuLzpO+aR/9xg/FHBPZquurLhfl2YXEJCe26rjOIMFUPaWlJbz++l/p2zeZ4uIi5sy5lezsLBYseA1VVSkpKSYnJ5vPP1/CvHn3ER8fz9SpV7Jw4QLsdjtOp5OcnGx2797JhAmXYLEM5623FmA2m/0GUzfccBMvvfS/vPbaX0hMTCQ2NhadTkdKSgoDBgzg5Zf/QErKAPLyclm1ajkPPvhfXHvtDN57bxFZWVkUFBRw+vQpTpw44enTFBYWxsCBgxk0aDAbNqxvsM6fFSu+ory8nA0b1hMTE0tOTjarVi3n4osnkp5+HJPJRG5uDmlpR/jd7/5bmviEaKGDK7aw9agL1pyDOpMQR/Xy5uqJjI/mkjuv7LBrGup0YHer3tql+ISWdSjX1wRjqio1U6GoombKoo7IsVmbc8oY4fvZOlEaxdUtOP74xr18u62ExG3fcuszrQvsPv3TKkp0MVx3eQ8GTh7TqmM7mq6pZp/OlJdX1qkX7i7Tq1RWVpKVdY7Bg7Wsw/fcczv/+tdHGI2tmy2+u9xvR5H7DW2hdL/r31rFsWLfX9z9TCXMfHyWZ8RTR9/vvq82sy1Ny2uQZCghy6nVgl08yM2E269o9vg862mWfplBangpM351Y4eVq1Yo/X1bIljuN//EWdYs2UtZ7aTGHTwFzDsvrsGhaEGVQbXz0O+uafaYXZ9+x+5T2r+DR56d1uJrZe4/xvLVWktOH30Jc55qew1bSyUmRjdaiyA1UwFms9l4881/cOGFF1FYWMB9981vdSAlhAhekVFmKPZdN+vJTv7ir/NTtTaQAjCHN9/5HMAQVtPMJzVTIWXfun2eQArgJ9MHduj5+0U7OFmhBVPh2JrZW6Povf37MvcfI3ncsBYdd3izFdDuJdsVS1l2AdF9Gk9A29kkmOoilZWVbNiw3mddeHg4V1xxFa+++o8uK0dBQT47dmzzWZeQ0MNv2gYhRPs57E66+qtWb1CAhhk3zZEtmzjZFKGlTZCknaGlfrNt6sTRHXr+Kx+8hkOrtrH7mB2nu+HURf44qr3/PnZ9c5TS7CJGXHtps8fV785XUVgiwdT5ICIighkzAj+jdo8ePYOiHEKcD1SXi0O5vn1JhsaUd/p1h181gf8c3tZgvTmq8dxSdZlq9nNIMBUyVFUltxTPGH5/GdDbyxhu5ppHZnHgiU9xobQoeafd7qA2FMlyxpK1t4qh0+wYzE3XojrrR1MBrkWV1AhCCNFJjn3fcGqNafOb70fSXsZwM4OiGj4sw1qY98cYbkbnduFUZaBJqCjPKfA08cW5S5lx94ROu5aCG4di4l8vf8P3//y6yX3t9oYjRt/+21aOrW96CrP63b0zjwY2FYPUTAkhRCexVTScsLi5X9ydKTy28dxS9endLpzyeztk2Cu0Pg1lCCMAACAASURBVEwpYaXMfLzjBxXUpeBG1elRdXrSCqGpIQ+ORqo/1+8qp7Tge+L7xDP48vENtqv1YrCjx8u4qB1lbi/5lyKEEJ3EYfd9UFjiKrrs2v4GaptjW57Hx6mYKFeiqC7t/GZJ0fkcVVpgbzB0fm2jovP98H399+UcXr2dr/6yDKfNTsbm/Vi/1WqeHI7Gm+d2ZehYt7XY77baz/eFqdq/sdSkwP1IAamZapElSz5ux0THbT9WCNH9fPvmSiqqXMTHmdGG1YVz1cQYhk67sEvLMfnWSZx835tAONzVtuk9dizZzNQH/U+ILLqHqqJSvlp1FoCKqs5PxFo/mPqxKoYf91cDseQcPcXaLdoMGlknvybToY02nXVNH3Z+ayUqQiG9PLr+KRuo7SIV2zMGfqxADXCCWamZaoElSz4JyLFCiO7neGkU5xyxHM4L43Ce1pE7umfHz7/XnJiknsy8spdnedr0/m06j626Y6a4EYFzYM0uz+tSe+en3lGaqPwqzfXWNB0tqAnu3Sp9xw/j5qdnc81js7DE+2ZTP7Rya4Pz1NZMmSK0EarOAM8jGbQ1U0WZ31BZfKTNx2crCq56jaoRcSOJT246J+vp06dYvPhdBgwYyMmT6QwaNITy8jIWLVpIauoAbDYbCxe+wU033UJeXi4nThzj+edfZMGCvzF69FgyMk4wd+7dDB1qYdmyLzzHjho1xm/6gQMH9rFq1XJSUlKxWtN44omn+d//fQ6Hw8Fzz/0veXk5vPbaX7j33gdYtuwL9HqF1NSBHD58gBtvvJmMjHSOHUtj9uxZTJ9+fs3SLUSwcdrsftfHJPfs4pJo+l00HNbnAtBreEqbziGpprq3woxM9vzoTVNw+eXJnX5Nox5oJAY/ezwX8O27pwOfUX/xiZFQ5P3gbT5kZ3S9WZBqn+61wVSgJ+UO2mAqULZv34rJZOKOO+aRl5eLyWTmyy+XMn/+w559Vq9eyYgRI3nggZ+RlnYEo9HI/fc/hMUyHKs1jfff/xcvvPAKs2ffzAcfvOtzbH3ff7+epKS+3HnnPWRkpBMWFsaTTz7Dc889TZ8+fdDpYOrUK5g69Qqio6N55523eOyxxzl+3Mpvf/sblixZRnl5OY8//l8STAkRYBvf/QZo2C8pIr7ra6bA9wHV1jI4nRJNdWdffnIQ9N70HHH9O38eux49wsjK8b+tqrphh3O3zreRLCo+Gij1Wff2i+t8MqrX1kz1GpZCj3Vp9B+W1K4yt1fQBlPxyVc3W4vUlLam7581aw4ffvgejz76ICkpqfziF0/63S81VcscO3z4SAoLC1i/fi3bt2+hoqKC4uKiFl/v3nsfYPHif/HQQ/cxevQYHn30l/Tvn0LPnr3Ys2c3e/f+wJw5t3r2T07uB0BUVDR9+iShKAoxMTFUVHRdx1YhhH/1p40JBrfcNADaMZdmM2mCRJCz633znNXOpdeZ+gzqxaGcEgAi1AoqFe+/i9o+UnWZXVU+ywMnjyZl/xpOV8d41jkVExV5xUQmauVX3Tp0qJgiw7m9lXP6dQb5Z1LPkSOHuPvu+3n77fdJSOjBmjUrURQFt9vNsWNpnv3qTvT74YfvER4ewX33zeeGG3z/qLqaiLvusXUdPnyQX/3q17zzzmKKiorYvl1rG77lltv59NMPqagoJyEhcFldhRDtY1D9N/11lV7DB9DLktrq40YlaqO/EhJa32ldBIesAyd8lqPU8jYNQmit5LGDAIinlHuebX7wQr9Y3zZBg9nEzMdvZN59vhnaq4q1ChJbeSUutw7FHTxZZYO2ZipQSktLeP31v9K3bzLFxUXMmXMr2dlZLFjwGqqqUlJSTE5ONp9/voR58+4jPj6eqVOvZOHCBdjtdpxOJzk52ezevZMJEy7BYhnOW28twGw2M2zY8AbXy84+xz/+8Srx8QmYzWYuuEDLlDFx4mT+/ve/cP/9DwJgt9tZu/Zr0tOPY7Wm8Z//bCQnJ5s9e3aTnZ1FWVkZ3333LdOnX9Wl75cQoqF7HxzP4nf2ARCjNMw11R30Tu3J4bxyXDKnTLe1b8NRauevA7hsatv6zbVWRHwsd90zkrDoSBRFYWBkGScrfEfo9aAERQf9U6K44Eb/z62YpJ4Mi6vw1PhWlZRzZvdRVn6bA0o04a7gaZHRuf0lI+kCeXllnXrhYJmlu6vI/YY2ud/u4a2XviOOcub+9kaW/3UZmfZY5t5pIT616f4cwXi/6Zv2sW5rMaMSq7h8fsemRgjG++1MgbrfZX9Zxrmaia4nD9cz7qYpnX7Nxu712Hc/sH6nd/3DT1/e7FQzoE2D8/3C1RwrieSqS2P4flsBLkUbkRjvLmXubzs3AWldiYnRjbaXS82UEEJ0ANXlwq1TUNB+J974ZOD7cbSH3qg9Hlwu6YDeXdUGUgCjrm9+8uDOpKUH8QZTLQmkaveLiguDEvh2Ryko3tQOYcbg+WxKMNVFKisr2bBhvc+68PBwrrhCmuWECAVOuwNoOsdOd2Iw1wRTAR5yLjpGIKcxAkgaO4SRO49zJD+81ZMs1ybmrC+5f/PJPbuKBFNdJCIighkzZgW6GEKITuKyhVYw5amZkkRT3UrhqXOs/WQ3P7l6qGfdJIu+iSO6ztQHr2fwHisJAy9o1XEpFw6DH/Y2WD925sSOKlq7yWg+IYToAKpdG5EUKqkEDCatJkOa+TqHWn+m3g6yY/kPFOtiWLPuDAC9lBLGz+n8vlIt1e9CS6tznkX0iGVkT9/0CaMSq7pkZGJLSc2UEEJ0AHu1NmpPHyJVU8ZwLZg6XRmJqqot7uMimndo1TY2H7QxureNKT+9FoDSrHxsZZVEJcZhjolE0betNkmv1z5/TkX7+5lC5Cnfs28c5NsALS9VRw+KaK8QeZuFECKw7OVaMGU0hEYwFRanTfnh1ulZ/39fc/XPb2jmCNFSmw9qQcGhHDOX1QSqH9WZlBpg3n2jiUlq/TREJqNv0Gs0hkYQPOLaS9izbzXlShRxxsDmbvMnNN5lIYQIMEe19oA0hEgwZarThHKiLKqJPUVrFJ/N9VkuzDhHSWZug/3yT55r0/mNZt86kpETB7fpPMFG0euZ9+wMpowxc938aYEuTgMSTAkhRDu5HE6O7coAwGgKjs6+7SXNep0jY/sRn+XPlp4g82BGg/1O7D3dpvMbDN7Pn6I6Sbl4ZJvOE4wURWH0zElE9AjMXJdNkX8tQgjRTjs++Q5rkVaTExFlDnBpOk6SoSTQRQg5DkfDjPLHDzecFTi9LIrTu440WN8cl8vbsV1VpCdPV5FgSggh2ulctnekUVR88E123FZ1O9M7bcHXT6U7ctUEU1dc5P2cnPMz+S/AqvUNm/+aU1zk/SxGBNF0K6Gu2WDKYrH0sVgs71gsll2NbH/GYrH8reb/SywWS8MJ6IQQIoTVTcUUnRh8TRBtddnNEzyvM7Yc8NmW9s0uz8SzTXFU2fj4peVsXfwNpZl5bHl/HdXllR1e1u7C6dBqjoxmYzN7tp7L4eRMZSRG1cboXtVMmda/w68h/GtJzdRPgGVAY70qo4AnrVbrK8DnwJ87qGxCCNEtqG7v12N074QAlqRjJQzoy/AELfA5cdDbIfrQyq18/0MFq//5XbPnKDqdTYkuhv3njGxaso0DWSY++9OyTitzV6kqLuPbN1dSll3QquOcNTVThjAjCfhvRm1thvBaJZm5qDo9vcOqmfLAdQy6bGybziNar9kGVavVutRisUxrYvv/q7OoAOUtuXB8fIRPR7nOkJgYPKnmu4Lcb2iT+w1m3mBq4KhUT/bw1gjW+731mVv549MrKK3SecpYmF0KhJHnimqy3KqqsnHzESAcgDO2GABOVjR9XLA7s/8E7y0+CkRRvHgLj/x5XpP7H9u0n9NHzzL1/quxFmvNez16xfLon+/ib79eQoWirbsg2UFMfAST597CS8+tI1EpbdX7lLW7GID4+LCAvr/d+W/bVh3WO81isZiA+4Cft2T/oqLOreaVWclDm9xvaOtu91vt0mPU2bjzoUspLK5q/oB6gv1+DW4nDrfOU8bqagcQhqrTN1nut19ch1MJ97stmO+3Od/+ewegBYYVjqbfA4BPl2kj87b+bi0AOreL8OQ+FBRUcO/vZlKSmcuBtXu4eO5V6I0Gisvt6NwuHK7WvU/L150DxYDLpQbs/Q32z3J7NBUkdkgH9JpA6v+A31ut1vSOOKcQQnQXTp2CCQeRiXGBLkqn0IIp/y0J9fMm1VWbhduf0qz8dpcrEJw2u08uMZPScHReXYdWbWuwbkSi3af2Mja5F1MeuM5nnd7tolgXw4EVW1pcttrRewPHpbb4GNEx2hRMWSyWBIvFElPzOhxYCPzVarX+YLFYbunIAgohRDBTVRU3CnpCdw47o07FqfM+6HU6bzCxavEOv8c0N/pvz0q/Y5qC2uZ/reHdVzeQVep9L8yGpv/utdnO64qOb35OudpAdMthR4vKVpGvNfHFuktDKrdUd9GS0XxTgXuAJIvF8lxN8PQs8GjNLh8BlwFvWCyWDTXbhBAi5G3/6Fvee2ktTsWEogvdYMqJgksxempJbHZvLqNSJZr0TfsaHGMra7orR0xC8ExS2xKqqnIoNwynYqJa7226bEu++9gWjPism+OrJWkpynIKAUiICo0M/N1NSzqgbwQ21lv9dJ3tN3d0oYQQItiVZuax94wB9NrXaIjMb+xXZU0H6S2HHYyeqVJQqYc6rX7rthbzyOW+x6hO/81fY/vYOJBtxhzRvZKbrnptBeANgiLVciqUKJxq48c0JjapR7P7XP+zq/jyzfUUEcO7r25gaE8n0342w+++mfuOsWXtUSAWU4hk4O9uJGmnEKJbczldHP56W5cnlSyqN5+aPoRrpi4fF+Z5/d1bX1Op901ManJVNzjG7fKNMmbPSOa2W4dgCtPyKzUWbAUje0UVZ+2+tUkxJhcmVzUVzsbzRamq/0grtl+vZq9pjomkR7T2iHYqJo4WNl6Tt3zNOQrcWvnMZgmmAkGCKSFEt7b9o/VsOmDj23+u7dLr2sp9Awh9CH+bjrj2Es/r46UNJz2ONzXsF6S6vMFSolJC37FD6TmkH3qD9kbVnfbEVl7ZaOARDHKOnmqwrtKhI1KxU62E4WokMKzK9zbVJVCC2VXF3DstGMNbVis38ZZJrS6rKbzjk4GK5snEPUKIbi0/rwowcbKia3Pb2Kt8Awh796loaTV/kx7fevMgjm+3sv+cEX9xUG1w1Edfwuwnb/Cey6AHXFjTijj+yjJGjunFpgM2Lkh2MvGeqzrrFtol71TDEYt6HYQZ3RQ5FMpzCohNbljbVPBjtuf19fdNJiYpsVXXje7j2xx4dq+VvuOGkpf2Izq9Qs+h/Tm375jPPqZOyKwumhfCv6WEEJ3NXlVNYUYmS19ZxqFVW7v8+qqqcs7pbX7J3H+sib07lr3Kt1nRfJ79NI2Ij+HSu6YD4LdOqWaOHZNRh6L3Nj2pNZ2MCokh3x3LpgNaULr3bNc3Tx3+eht51tPN7ldR6s0dNmm4ntG9bdzwwBQiI7Q/esk5bxZ0W2kFu5dswOV0UZytdQrvZy5tdSDlT/oPGWz74Fu+WP4jn395ktX/WMmKddk++/Qc0Lvd1xGtJ8GUEKLNlr++ln8vOU6eO5bNB7t+ItysAyd8lvd9n9Zl17ZXOX2Wx00e1GXXDgZhcVHoDXp0btVnOp1aak0znq7epiGT/A/bj3R37aS8ZbkFbDpgY+mXGX637/1iI6d3HQWgutr7tzaaDEz56bVE9oonKlprrivL09ISqKrKx69vZFcG7Fm60ZPWYPzEAW0u59y7LESq2sQiTofKgSxv7q7T1TGe11dNiuWBxy4hefywNl9LtJ0EU0KINstTAzupb0nNL/9albau6wRut2sPymi1jH6mUpIvGNpl1w60lLBST4JJLZhquE9tM1/9YCom2X8NTbi+69pJq0vLWfq2//xYANlHMth+zM2q9TlsWrSG6mpv3VtEnLfPWFS81hG/rEgLBNM37qNar3UUt1d780Ml9G37fI3xKUnMuGO8Vm5b4+9RWGQY5qjulW4ilEgwJYRolfRN+6gu9T8F59svrqP4dLbfbW2hqiq7l2zg+Ma9freXFWgPsYtStYdMvjuWb95c2WHXb4qt5sE27bphzHryRkzhYc0c0b31VrydqWNivLUjCo3VTGnvj65+NAWYVD+j/7pwMKT1+72eoAdgxyfrfbZnpZ3xvD6cF8ZZu1YDNK6vnYGTx3i2xfTSfkyUl2pNlVkZ3r5V4VHeTuYp7awtikzQrp9f2XhTaGSPmEa3ic4nwZQQosWOb9zLuq3FvPvmbv7v5Q0NtjsVE2mbDrX4fBW5RWQfanwGqlNbDrIrA77dVtIgMWR1aTlHT2kPsd6D+3jWnyiN6pL+Ww6HVlthjvI/91youek3szyvY3t6O/vrUFFrUlemb97PxndWa1nhG2nmA7h97igGRfnO3+byE5B1Fl29DvV7ftSTdVBrMnba7OxM8591fOLdvh3kY5J6AlBZqTUDKnrvPTgdLgyqnWi1rKbTfduZY6PQuVWqdI1/1mL7SV+pQJJgSgjRYoWZhc3v1ArfLN7ElyvPUHjqnN/tJTV9UQAKMgt8tm1c/D1VNbUL8f17M/8Xl3q27d5X1KHlrO/w19v5sUqrCTBHnx9NK3VH9I2eOdG73u321Eyt21LEkfxwSs/m1mnmaxgkDbp0JNc+NotLBnvX1a3dsldVN5puoCPYKhqmctiz/ggABemZnjnu6rr3wfENRjVG9+mBzq1SadfKHhXr/SxYT1bhVEwdkn9MURSMqh23Trt+D523lvD6qT257+ELfOb1E11PgikhRItlZvpv3qvL5Wp5vqCsmpF4Baf8Nw06Hd4Hqt3m2+G7dkoTs6uKmKSemCLDGRCh1XZEGXz37WibDnibqaJ6t70/THdzzeQ4rpoY4zM6T0GlSh9JRZ3Ad9eK3bhdWhDhr2aq1kW3TfO8rq3dqsgvZtHft7NmwSry08+Sa/2xQ+/B5XByIL3hYAmHUytv3knts6ioTgZGljGur5077hhKZM+Gk1jrDXpMqo0q1YDL4SQn0/selCta3yqzvmPaL00672e67sjRAZNGExEf2L6LQvJMCSFaochu9plGpK5Lh8COE3A0083xP67CrjMRrasi3OgmdVAc+dllXPnw9Z4H8dG13g7AFcXacPIR08YR2Sves95lV6n9zeeol8gpIkwPdrhmhncU3bWPzeTtV77H3kVNRqN7VfvNwRSqBl8+vsG6qpps6IsXeZthT5RFYakJqpWmoilg3j2j+GjxQU/NVPFZrd/R6eoYTn+mNb09/FQ/nwCuPSpyi7DrG/Zvq50WpjC7GAjniolxDJvefN4rs85JBWHs/fI/ZJQ3zHVmNnXMZ7GiThOf2aRAy+Y/Fl3k/PkWEEK0m1NnIMzlncB26vgw5t5l4fJxYSQka/1HHIqZKn0kLsVIsS6GLGcs24+5OVEaRfZhbRj64a+3s2GvN3dP2tEidmXA4n/tZ+XflnuvVyeLdlphhGei3ZLMXM4UaV9fRnOdztCKgkm1UYpWK1Calc+Gf37daAf2tqjILwa3m2i1jCkPXNdh5w0lEWoFbnfjfabqiklOJFytplIfSfqmfbgcDWsVD67suD5wRzbs97we28fGA49p2d1rK1SLirVaq8QhyS06n0mv4lKM7PKTYSFSLeeC6SPaV+Aabl2d2sBQngiym5KaKSFEizhtdlTFQKSuguF9HYRHhTHyOq3vTHxKEmf3NJ/jKefEOfqOHerTTAZQhPcX/RlbDI6a7OJ1m/kA9h4sZuwsWPL+Ppw1/aVMUQ1rGdw6hcKMTA5vOMjRwgiObiuh97C8DkmceGrnUdDpSOklmaYbE6F3UnRO619Xt1N2Y6oV7W+4bmsx4a5K0Pv2Qzt5vJBxHVS2U2cqgRiGJ1Ry2f3axMEG1U6xLop/v7ycQmIxqPYWd+iudukbrZa493c3+N/QBkNiyjlRM5VPVLQJypo5QHQpqZkSQrSIrURLQ2BUYNI9VzN+zhSf7WGxDedsqy8/q8wnrUKUWq7VdNWrvnj/f5ZSll1ARq7v+kolktX/WIFT8dZG1X/oRRu19o9/LznOoVxvoLXzq53Nlq8lfjyeB0C/EX075Hzd3TWXxTdYl++OZVuaFgjH9ohssL2+2o7VgGdQQV2GFgRkLRVh0vowXTBjgmddlK4aVaenkBjPckubb+3urqmTuPrRG5hzQ38uSHZy8W1TAeitL2nmKNFVJJgSQjRLdbn46J3dAOQ6/D8cew7uh1H1HSU1KtG3BupEWRTvvrnbszygjwGXrmFfmHOOGDK2H8GmD2dYXAXDE7xNi6cqvbVYkWp5g4fepGv9N6sUlnZMp3SHQ3sYJw5qWTNQqBswcVST28M7YLSj2kFJqFRVpbDKgF51EJXo7VBerPPN0WRTW94/a9qUPg3WDY2tYMb09teC1tdn9GAm3nMVxnAzDz99OTf9elbzB4kuIcGUEKJJRT9msfDPm3EpWrOW6if4qXXr3eMwqjYuHQIPP305prCmf7VPvucqplyiTeZ66RAdY/p4g7HqmrnveveP54qfzcCgNhyBNahvw6a2pNGD6aWUYHZV+ayPj2683KVZ+VQWNf0rvzYJZW22b/35NhlfI5obkm8MMzW53Z/wOv3yAFwdkCWhqriMje+soUofSW9zJYa6fe1U30Dbrmt5mQdfPp6LB3mDvWRTCVc9MpPUS5oOMttLUZTzavBDsJNvAyFEk1Z+9AMo3ia8GVf2anTfuJQ+PPg77y/11LEDOPDjSUxuh9/mG73RgOWqCQydrqIoCqrLxcE/bwbgwEkXKHrMEVpT3bTJPfl2e6nn2EnD9Yy98eoG51T0em55ejagJfbMSfuRr7/Lw25vmLLB5XCSvnkf63dqTY8PP3253wfU/mWb2XrEweyZ/b3BlFH6TNUaGFnGyQqtxtCg2n2bYZN6NHt8AqWeJjaAGKODqjp/LmfLs200atunm7AWa7Wq4Wbfv/GcW4by+ZcnPcsXDW3d33bC7VewqyaJ7YyfX9++gopuSYIpIUSj1r+1ypMvB8ASV0HqJdNafHzSmCE8OGoQpefy+eTDIz7bLh3i7QdTG8Aoej3hrkqq9BGeB3KPAVqfqMGXj+eMdQ2KDi6YOYHY5MaDulphMVH0HJQM3+VRbffWHricLk5tPUjOqTz2n/M+OLd98C35+VUkJoYz+d5rAKjIK2brURfoFNauOE5Uzbdm3ZqN8911v5jlyYgfr68iz20inlKuuHEMPYf0a/b4256aSdbBdJav0ZK3hpl1UKdi0aW2v89USbm39qnK5hud9bKkMrLnEY7kh3PbrUNIGNT6/nB33jWcisJS+VycpySYEkI06lixb/+ohD6tn/9LURRM4d55ysJdlUybnsKASaP97l+/Biumb6LnPNMfntHq64fFaTUmuWos+SfO0nNIP7Yu/qamc7pvDcSJTAeVSiznzsGw42foObQ/X729GRTtHNX6CFwuGyig00sTS10335iKo9qOOWoQ332xj2k3jqH3yIEtOlbR60keP4zIr49RoURhMio+wVSRLobKopI2Jac8vesopw6cwubQUZMXFJufHE1TH7yeKara5qazuJQ+xKU07D8lzg/ybSCEaJFLh+oYe+NlbTrWGOEdVTd6aESjgRTAlDFmn+X2/tLXG/REqVoz3mdLT3B03U6y83w7yk8eqf2urFS8wePGL/ew/aNvKVV8EzE6FDM6t0v6q9TTe+RA+l1oIXFYCnc8e2OLA6m6rrlpJL31JVx66yRmz/Dt4H9g1a42lWvV+hwO54VTVNvJ3O3mkqmD/e4rf1PRVvLJEUK0yPg5U9r8sNGbvTVAPfv3bHLf0TMn8aunLqOfqZQh0c1PX9MSY0d5azT2/pCNsU5fdJOrmjEzJ9FT59sBPVeNZe8ZLciqv83dRCd80XZ9Rg7i5qdmE92rB33HDuWRZ6d5tmVnV7T7/KnhpTzy2yuaDOaFaAsJpoQQLdKeX+2KohCplhOhVpBy6chm94/tk8CsJ2/k6p93TNLDUdddSh+DFhCV6GLIdnhrm1LinFqn9admkaiUMLJnVYMUD4kJJu68a7hnOZ5SRNeorTXMcsby3cKv23WuXkmtb6YWoiWkz5QQonFuN+h03HVP8wFQc+76tdahOxBNKQaziTm/mc2q15ZzujrGkyTS5Krm4lkTPOW6tWYUoOH9dRzI0o5NMpQw8Y4rCYuJ4qEnEsjce4zEoRd0+T2cr8bd+BMOHFpJuRJFeoGB6a08XudWPX/vpGGSaFV0DqmZEkI0Ko4yFLerRSPnmmMwmwI+0umah6/1vO6jL2H+76/z22n4ktun8pNRRu5/+EJu+s1swmK0EY0Gs4nUiaOJ6NH6jtCi7a6+SQvmI3XVzezZUA/FO+9K7xEDOqpIQviQYEoI0SjVrUPn7oAkP0HCGG4msqYz+rjJjXeQNoabGTPrMsLjpVkoGPQZOQiTqxqHu/V91WrnBL7ykuiAB/MidEkznxCiUU63gp4OSD8dRO769TWUZRcQn5oU6KKIVjDoXDjdeopPZ3N6X3qLR5YWO8ygh0GXjenkEorzmQRTQohGOdFj0IVWMGUwmySQ6oaMOheVSiSffJwGQOKAEySNHdLscXa9lpZDMcgITNF5pJlPCOGXy+HEqRgxEDrNfKL7Miq+kx27nM1PXG2v8vaxUvQSTInOI8GUEOehze+uZc0/VniWy7ILyNx3zGefjP8cQNXp6RFd/2ghul6Y0XdKGaet+WCqurCs2X2E6AjSzCfEecZWXsmhHDNgxuV0cWLDXr7brXXKvhFIHj8MgKyMXCCMgSOkSUwEXkKCmbPZ3uWSnKJmj9ny+TZABhGIzic1U0KcZ7Z/utHzeu0bqzyBFEDOndGpagAAIABJREFUiSzPa1vNL//IBO9Ex0IEyqV3XsGEASqxbi1h6tY0F2f3pDV5zKlKCaRE15BgSojzyPr/W8WR/HDP8o9Vvg8bl9Pb2dxu1/pK1eZYEiKQDGYTF8+dztW3jPesW7EuG5ej+ea+sUn2ziyaEM0HUxaLpY/FYnnHYrE0OsukxWK53WKxpFsslo6Z+0EI0eF+3HmYYyWRTe5zNKOSTYvWcGrbQewOrcNveJwEUyJ4JA5L8cl9dmDFVr/71XY+N6o2Lp07rSuKJs5jLamZ+gmwDND522ixWAYCecCZDiyXEKKDZaada3afCiWKw3lhrN5YgN2l/ZMPi5Me6CK4DI6p9LyuKK3yu09FrtanqneYTZJ1ik7XbDBltVqXAo0OibBarSetVuv3HVoqIUSHKssuYP85o8+6CFdFk8c4VB0G1Y5e8vOIIDP9Z9fRz6xNXF1aYvO7T3WJ9vk2m/zWAwjRoQI2mi8+PgJDJ39JJyaeX7+o5X5DW3vuN2319gbrTHqV2t/3D//XeBa+tc9nuwMDRpwBe5/l7xva2nu/d//+Fl7+f99QYfN/rryazP2RUeageG+DoQxd5Xy611oBC6aKiiqb36kdEhOjycs7f3KMyP2Gtvbeb3F+OWBA53bh1mk/YqZcM5Rd31m55r6pKHFxzLqmDyvWeceeOzAQSXVA3mf5+4a2jrpfvduJ3anze66cMwUA6BT/27vS+fT3DeV7bSpIbFMwZbFYEgCn1WotbWuhhBBdx+lyAQYmDjex90g5I1KM9LtwOP0uHO7ZJ3FYCtQEU4rbhUsxYtR17o8eIdpD73bh1DXsrVJVXMbmg9oIPnO4scF2ITpas8GUxWKZCtwDJFkslueAV4FngULgZYvFogN+D6QCd1gsFofVal3biWUWQrSS06GNforpFct9sy9DURo+gMxRETz0xGT+/epaShXtF5hJukuJIKbHhcvd8LN87mCG53VYpLkrixRyiiuzOZm2iB46F2ryTPr1GItBLwFqfc0GU1ardSOwsd7qp+tsdwMv1PwnOljame8wGiMZ3OfSQBdFdGMupxZMGUxGv4FULYPZRK84HaU1dc6R4RJNieBl0KlU4ftgV1WVdVu82dH7jRvc1cUKKRlp/6JnzWTnSuYq9p9dx0UX/jbApQo+krQzyEXk/wdjllT0ibYpyczl7J40XC4tmDKGNf+L8tI53sA9aUBCp5VNiPaKMKo4FRMZWw941tWmRKgVm9yrq4sVUnrqfJOiJuocZBUda2Tv85cEU92E0+UIdBFEN5OffpaPPzjCinXZVNdkM29Jvp2IhFjP6/7jh3Ra+YRoL7eWV5a1mwpZ9dpyVJfLJ4v/HXOHBahkoSNLH9tgXUV1fgBKEtwkmApidQOogjLJiSpa55slezyvq+xarh1jWPPBVN2AS37Vi2CW1CfC8/p0dQyFp7JQHdr3Zn9zKQkD+gaqaCFDp9N6A5X3mISjJnp1umR6nvokmApiZ/L3e16XlEswJVqnWOedd6/KpfV9MoaHtejYqybGMPNKCaREcJs4b7rP8rZle3A5avr3yNOtY7i19zM+OpXiqKEAVORuIz27Ye6685l83IJYXu4Oz2u7S4aoi9YJq/OZsSlaEGUIb9m0GkOnXUjKxSM7pVxCdBRFrydSLfcsn7XH4HJqfXwURTKfd4iaeRANigldTY66RJ0DY9a6QJYq6EgwFcT0Jm9btSrVqqKV7Dpv4KTq9OjcKsZwGSYuQsuwFN/aVrWmz5TEUm2XVXSMXUcWkVlwhD6qNrTXZIxAUXwHsOxOWyxNfjUkmApieoO3P4BL9T//lBD+5Fp/RFUMmF3eSWCj3RUoekl1IELLxXOvoIeuxLOctlUbaSY1U21XlPEpvW2ZuE4v9ayLCktgVOpMn/16VZ3iQMYXnmWX6jvy73wiwVQQU13eAEotTQ9gSUR3U5ypjbYZmuR9oLgDVRghOpHeoOf2Z2Z7lq3FkQBUVrkaO0Q0I8pPZKBXDBgNZopjx/msd5edZF/6Fxz44Q9k7n+RHYeXdVEpg4sEU0GsbtOeTh6FohUqirV+JJEx3iaQQf2kiU+ErrF9fGvvqySbTJvYndUN1hXHjfe8HjVgJmWqd1uizkFC6SHiFO0ZVXZ2W6eXMRhJMBXE3Kr328Clk/T9ouUqSrUvxMi4KEYkVBKpljPhtssDXKrOcyxzM7v3vkJ28XFcqhOXKrUS55tJ917tsxwTIY+3tsgsONxg3aCkKZ7XesXA8At+Ry7+f5yF4+R03r5OK1+watNEx6JruN3eYKo3VdgdVRj05ianAxECoLLcDpiJ6hnDtKsmBLo4nerQqa+JKdpNGJCVsQS7zkW2EsUl454MdNFEF6r/vTj9gSsDVJLuraj0BD3rrQs3xfgs6xUDEy54hh0H/kGSq9hnW5hOB2eXUxieSEJUcieXNnjIUzmY1ek8DJB96M/8YH0vMGUR3UpVtVYPH907PsAl6XxVxUc8r3vUzCHWp2a4fKWthJ0HXmfPsU8CUjbRta69TPu8z7yyN+aoiGb2FvUdOvU1PcutABRGj/Ks1yv+B66kpng7pOdF+s6WUH58USeUMHhJzVSQcqkuYpzlVACRdULe3tVnA1Ym0X1UOXXgVolMDP259cJdlY3+LDyRuZE+riKoKCKrMI2khOFdWzjRpQZNGccjU5rfT/gXU7Tb83r0wBs5mOHEZGo4nUytPnGD+TH5Biqq87ko5RpO7/1fn+27jixCpxiZMPzeTitzsJBgKkhlFh7i/2fvOgPjqM7tmbK9qO1KK6vLRe5yxzSD6YEAoQTCowRCSCEv74UUwkvvj+QlIRUSCISETuihY4MxbtiSbFmSVaxeV6tV2d6mvB8zuzOj3VVvlvf8kXbmzuyd3bv3nvuV8+lJwE6mIaC3SbsFnkThPPcthemD47hZc9cyoTCGYQbFR0DRi1sKobLhCVjFj9FOGmMWKQCoaHgC2YG22OuejldTZCqFFCYImlJh4/Ibx21XlL0p9n8/NMiBlAiQE+qZlb4tRKTcfAsUgaBQ+ZxUp0OvtcaOh8mU6fpUx1BbDx65/31UPP/BzN+7vRePPHAAAMCSiz9pwSojS5vWfhWqkpswyAsEUk6kAICldHPatxRSON2wouwOBPn4zPPTISA9RaYWKFxDQl0+HjzUKmPsOAEu2SVzhoqGJ9B59CcY8p4+u46JguOE76fzyAn4nCPx51kWlW8dBUfSONJKoGXvzE4ybz5dOaP3W8ho7t0f+58ouAY0pUJu+nIUr/gcONmEHhD/J4jUdJdCClGEmSAqjt6Pivp/AADcAWfsnJOfmtMqTZ+N8h3fjz/R/RrsIyendM9TBanZZYHCxgqKvmSgDxQpG9j8/JOp6I7fe/JR9C3yH8hEEfL68dz9r+Hp+9/AQFMn3tjtwEsP74trd/CJXWh2S+T43QPxhGs68JCmGb3fQsaISxh7fXQmCizrYsczjLnwW87CsHkd8sq/i+wVXxBOjFH2IsKEUNX0DOo63kZV1S9wovO9We17CinMN1rth5CNMLKDHQAAx4igHO/mgBWrvzTl+xp1aQllEzp7klviGTaMEb99yu+5EJAiUwsMnQPHFJlHPEEgN2NVzHWx0MQ7va1PIxTxxV77Qq4xWi9OtB+swWt/fg9DMMNDmvDhy0cBAF7SiKBbiuF5+w//xnF7/CTDhMJoP1iLhl1HptUPNqIs5XDdp4qndb+FDo4TyJE1e1vcudWFF6N86TWgSAoGTToAwMZ74QslJq/Hmp6ExXcSpqHDsBAMvKJlOIUUFivcIw2x/6uqfoFAcAgAEDIuhVE7vcQVljbEHbOFk5Olqto/w934MPpHWgEI66DT0zmtPsw1UmRqAaGu422g+zVYfJK1h6ONUKt0WFd+r3hkfslUdLBHoSEIHGsQzMS17W9i8MTvUdX0LBp79sZcXosFbITB0Zc+RMXze+DuGQAA1L97GG99OAgnL2W8DMj+f/nP7wMAwr4A2vxKq5GNEojnwac/wHsf9OKDCh+cLVPP1gy5JVKrZ33IXlk85XudEhDJlGqcWCi1SgdWdPXVNj0JlmNR2/4mqit/imGfMMHrA0qXNcWl5LNTWORgpI2ehWCQNlIFAKDp6cflGsxLY//bVdYxWgqwcR4AwLCnHX3DTUD3a+g8+eS0+zGXSJGpBQTT0OG4Y2tW3AoAIAkKHM+DnGc3n8vbFXcslxF87dG0WouvCTrHHjT37Y9reyqj6sW9ONTE40gr8NQTdQgMu9FWP7ZpeoQQxO72Pak0cW9fQYAWvbe1/RowpBoAMNQ+dVN3yOsHAORrXPjsd68Yp/WpgU5nDVqqfozKpqfjztkYYSetmsDkP2wqAwDkMkOoavwHzMMVyCB5NLW+gMPVD8A0aia0EhFUNp5ak3kKKUwGRJK1hKann6iRb90IAHBxBDat+nzseIv90JjXcTwDZ+tzAASCdyohRaYWMOxqGwwawcpBkiT8PAENP78DLMz6J9zW6++dxZ7MPYacPsXr5x/8CDQ1scr0ao1SomDNpduQlRVPAgLeQNyxiSLkE65V0YvnZ22374eKIGD1NaO590DsuFd0SQBAljF/3PuslIkL6vyS9S+XGYrtikM8jwF9KeyqbAAA5WufbvdTSGHBguQTl1xix4gtnCjS9TaQhdeiYNVdoCkpq1jV964iHtEf8ijcecbBQ0gjJe+LPIRkoWPxzLrzACY0/UEnR2hUSmlx/iWK10GChoHgwbDz54KIjDG43YvLqzcuQoQarPjMOaQLpUZP0rYjw4L2CsVFcNMtq6E26LDusk1x7YL+qY+psE94D5Xq1PlZhyJ+9AxKCuZHm19A59GfoKHzY3Q6a2CLOGLn3D7JKtou7nAd2gKo6PELOOs1JhRu/AGcPAVzgo9ngFfBuvKL2Fx2C7at/RK8HJBJcGjrr4hvnEIKiwBWQlhHHFArj6evmJH752etRbreBkAwDEQRcEq/qZO1v4O/+fGk9xjynTob8lNn1l1gOPlBFR554ABqXz8wfuMJgoaUxg1AwegBgKF0IAkCw7M4wLyBCO5/qgqPvn4C4Yhy5zLssyPil2JL5D8QAIgQSusL7W5CKOJHTeVPUdnwxKz1eT5A8Bx0CIHjhO/r/Ou3JLUIBUY86AoJ7r6Lz7chPV+wfJiys/Dl+87HpWdnQM0KhYntPd6E95gIIoFTj0wdr/0j2M4XhDgJAFkegVj5Gl4Aul5WtLV4G9FQ+RNUVf0Cfp8wDk2mkkm9n8aSuE5h4dKbYhM/APhILQCA6n0Txyt/iiFvz6KLAUzh9AUjsz7lFFwBLwc4dMUwl31hVoRtSZnmXZTEAUAGmTgGOJpw1dW9a8b7Mls4dWbdBYbjR4Rd8vEa5zgtJ4YIEwJFEPAQ0i6bGiW6SNBCAHNX85Oo7XgLh2sfAsslNtVOFS/saUFT1wj219pxon1Ycc7T9HBMsoEouAbb1nwhtqvpHDgWq4sWRTrJo2+4HmkkrxBXPFWh0wlBTiV6D9RcCCxPwOkTfvSkWgWWi58YSI7B8TekWLisIltcm9Jzy3HF1csBAL1MGhwN7VPqXzgoTJC0au4KG/hDLoU+TTIMuNpR2/FW3PGoWrLL243jra+Oex89KcRS2MJ9AACNenJSEGsKL0U/tBjkKaiKboADGmhLb4E1rVjRbkXZ7bH/00ke3pOPoqr6/yb1XimksFDhDggJNIM8hQLLOqze/ANsWXmbYkMxkyApreJ1Is2pQZ6CjwP6tfnQWIQMXVtkYFb6MxtIlZOZAkJePxycGMs0sZCZcREIuwEAPCTrDk0pza8qTToQ7oWFYIGhIzAD6BmsQaF1w8x0AoCKkvh1mElO1KJEjyNUAB8Gul9L2M7hOIzZ+XlOHLsfegNuH4Nrvnn1tO7DMAJZWrW9FP272uEnpfRfSk1h46Ub0PZcPc7eYISl2IaXXm0DR9KoEr1TG/MZmPMSZ7Zkry4BXhcaHt1Vg0snmYkX9gWwv2IYIDVQa+fmZ93afwR0r0CQjOXfS1oexx1wItD6T5gB2NOWwZa+XLz+cGwCcg/XxIj6ZKBRTV5Xa+vGe8FyLCiSSroLT9Nnw27dAd3A3tixbITQ6axGoaV80u+ZQgoLBSzHwiuSqYh6bmp3ZmetByfLUg+3PYN2ngdJSAuorfi62O/RH/LAOXhwTvo2U0hZpqaAunckPSCSmL5UAcdxcDY8CADgZdW5CSjdZjpddty1EdE9NGOQkUOGTe7WiJpteWrseBVjSPjRhhOUGJgLcCyLJpcBdiYN/SemZx1jRLenWquBnlImAlAUDcvSfHzhOxdjzeVnImd1CSykMoaqaH1x0nuTJInP3CRknDndk+9bxYv7ECGF72KuLFP+bsnS5A8nJ0KNDY/F/ncMSfFRTI90vTEiXe/ipEHI8zwiucrYQTmyjAUT77AMFDl+zcKy/POhKblFcWzI1TKl90shhYWAw3WPoKf653CKGlNkAj2o2UB+1hoM6JcqjsmJFACYDdK2W68xYZgjwczTujEVpMjUFCAfAzrV9E1TwYgHdPSmBI1BYxnshAFalXKgpxly465l2DCaew+gofPjafcDAPxByZ/NsvKsCmUWX1SVnSDHIVPiCJuvaJPAsERomEjiwH3/oAvsGFa4KIIh4Sk0Zj2W2JTpw/qs+MrqoxP9zLmWMe+fUZSLdN4ND2GIyRxMFPKJyeeeekbgZMDLmLcnmNzVJy+BFA4JWXgcx0Er63N0nAyb18NASO3TV34ZRdbNcHEE7KQJ/Zo8hHMuhH7Z7aAKr4daNbv19nLSS1G48QcIWs8T+u9tn9X3SyGF2YI/5Iq5xy1eIUYx3bx0rEtmFJvLbkYfHT8H+i3noF+bHxPXjSKD5EATBNr6T40SWSk33xQgJxkGw/Q/wqiLDwBAqpNW6s40FmC0ChHHhaFz7oGvH8ja+INp98UXlCwujCwG6GTPAZhl7aJkiiSVrkiW5xEBFAslAGiAmGtlLjFwUkqD3/tmA5Y39sI97McFX7wcAND0fgXe/9iFPK0XV94zthtwKEiDJsJIL7RBZziJqIBqLp3YKpNmotEvnrr07AwYrOkJ28mhV/EYYUh8+I/3cclXPjmBJxQh+7g3XBGvCD4boGUCsuGwFwwbQW37v7Gy8BJoxXqS4UgA2ZCCXTlRDLN3WLBQ2Qk9zKwfepFMWdJXwKUywCia+E1aC0iSxJqN3wWApK7E2YZWVIS2cVNPEEghhfmENzgcd6zQGp9RPJs4Y93dqG1/M6ZJCAArCy4Y8xpn7/soydk8212bNhatZYrjOBz/936FKvRMgZVluTUO6+Efnl4JFTmZUmmzkrZT09q4Y55BqVBuMDL9id4XkKw3cjdfR88JRTtaJFHkqLiuQX0JVmz6IbyjTFEEQSAYSS4dMFPgOA61bxxEYFj4TJuq2mPnRggzjrQK35nPMQx33wB2H/aCJyj0BcYWfvTYBxGgDMikAyBJEiXbpPRhoz4xQTzn1p2x/0vPnVicTVgcWi0e49gNRyEkWhQvOTsDBsv4pG06cPsH4A95YJDNHo6e99B7/H+R6a7FcZnYZV3H68qLRTLV5xCC8vUZa+A3C+5NO5WGvKzVWF14MVae+z1krvpqjDyRJDlvRAoActKkHXyECc1bP1JIYaoIM/Fr4WxbdhOhMEfa7I0Z/pF/FQCAnGdtxYli0ZKpQ89+gP11Ebz20PRTKzmOw5BXkgRgGSVT+Phf01P67u+Qgrd12vGl9+Ww8ZI7qLb5xWn1g+U4DHmkhUJugWMYpf4RJco2kKNipjJEjZK04utjx5ximqsvOLNFfRPh4BO78FFNCM89+BGA5KRkoKUHT/2jbsL3dTQJweFZGcJzZxRKLtfcksTuO5Vei2zShXz1xMn2zuuFHVgOOTmC3uEQWJjWPLuToz/kwUjjQ3CeeEBxPAey2D1OGiuMGEsVTXUGx4h/hHGbYSzChqWfhrb0Nmxb/9+x6wy6NBi1GbPxCFOCRqWHXXRRHK37yzz3JoUUJo8ombJTGbCTJnizts9LPwwa6XedvvyOpO0KrRsQ5HmoUmRqfuEZ9sOSNYR15zSg7uC7Y7blOA4fP7Ub9trEwaUVJ/4K78lH0dC9BwDi4ms4dnpBcnLdDUta6YSu8VvOAaAUyuRC00sj3VXRjWFPCEadQBjklimdUqUBNKmG2x8GRlUHz0kXrAx5WasxbF4PFFwNRiMQRG/QgdnG8T7BUhagDPjnL15P2q7uY2WNQZZUYbizL2n7SEj4jtQa6YOIuveKtyTOCCNJEtfdezWu/PrEswijGlSRCQSZhQNBRAIhdB45AR8pkMaskiUTfq+poL5dmbXZR8dnAxEquUNY8D+qMsWMU3FiJFiBtOs1GSBJEtmjpAkWIoxpQhaijXOh01kzz71JIYXJwe0VQh5UumxsK78HqwuTJ3bMJiiSgq70NqSvvBsWU+GYbRmeQHoSLaqFhkVLpmg1hTUrW6DXh+BxnBizbVdFPaq6KLwspqZzHIcuZw04jsOAuyOmdeEeqQcgWaaixVBHlwqZKgZNK8cdXFGsLLgALo5IqOY8FfiDEeyvESKy/uNiYdGQkylqlIYUTWnxtT/sw+ti9qoDGrzbcy3+9m+pNED50k8hHCzGyV7hWl9gbjVDogQDAG7/4ibkqVzQsEJwdo9fsuBkQHAJuu1DSIaoa5eSSUdc8ZXLcNudGyYUCzVR0BqxRh/S0HGodsy2j/1uPx5/4EO8sVsiqVrz5NyDk4XVr9xwnLHuP+Pa8LIiwbxoidKohAB9G+9DKOIDyQttpludfi6xbMm50otRgqIppLDQEQkJMVNGfd489wSwphXDrBs7IQeQElOqmp7ByZ59s9yr6WHc6OmysjIbgJ8BKG9sbNya4LwWwK8B9ABYDuD+xsbGppnu6GSRtzwXvrCwcI6XqOUfkXzJLMeip/rnAIDKgUro9DmxwGtaLSyaUffX2nyguheITMSMkARR0U0PB2xcdsO47R26EvBsCIUQrC9pvBQnlaxw5Xh4bV8bXtnXBopkoFFHkGnSin2TdgSkLCMrxPMYcguWhdZuHchLb8G69Bw8+E58RuEfXjyOfBsNWIC04UqgePYK8PqcIyA5BhwZP6w1aUZc9Y2r8fHTu1HVKViiosi3aTBsBwY6BlCUJHabZYXviaSlSG+VTgOVbvxSJlOFvbUfRdvXxh13NLRDl24CT1BgiLkN6JdjmCNRCMBOGGGTjUNbuA9VVb8AmbYSRERw7eq0GbER1F3za9CgEAI/oVIwCwVqWouRtHKku6rnuysppDBp8IzwGzVOgMQsNFh8JwHfSfgt5dBrJq8tNxeYiF3jHACvQpEvpMDXAHQ2Njb+L4AHADw6Q32bFoxrcmL/U+OYCR2dDpQWd0GliqC7QwroTgt0ICIL6ibEhYsVLTZ6kXQMDEcQdHvx2m9eRc+xyfHImtZXACCuan0ybFl5K7auEapwZ2afoTiXrHDleHhlXxtMBje+eeFB/M/OShCi21FpmZI+w/e68uDxS9aHYU8aAiElgdld2Y3P3f8+vIEI3L650TLpb+wER9Iwc/GB7tHgZY1eGTB/x91bsGbnehA8h5PNyQWe+ruEXZ3cMjVb2LlF+LxCgfg6fUwojBdfaceTj8e7mYyznGkWLUHhgBp00Q2wLf0PAMCyZTdikKfgzToz1tZCMMh01yIHIYR5HjZZvS8VQSCT4KAhZkjxdg6xvvRqDPCiYG2qvEwKpxAoxg+e55FlLp7vrkwYoWxlpp9njr0bk8G4K0NjY+MLAMZKw7oCwEGxbQ2A8rKyMvMY7ecEJ9okUqRWJ5/02g/WwKdzY1VZG7ZuqsXxfZJKq5YgEJHp53BivAcjWqaWrBIEA4Mcjb8/WIGeSBpee3tydfPCsuKtk8WyJWcjvezLcOiKASitR5PBJ8+owjfOOQ6dKOfuGHkfAPDO4S44RgTrHiEStZ/v3oqK+lL87J9Samtnvwc/fEwqmTLkDuKp9yRS6ZIFgc90+Rs5wn7BWpZhUJLn1RZJd0mjV1pCtGYjMopyoeGCCHKJDbUsw6LZLTwDSc2+JSgtRwjQDATiAy/r3k6uJ3b2eRNzEU8VvpBgZeIJGksyVyInXYjvyzTmYeOm72J14cXoR3zG6TChA02pYC77wqz2b67AiySQ5eav4HgKKUwWej4CD08kzApfqFied47itT+UPBRjvjETOlPZUJItt3hsTB3njAw9aHr2FiZv3TCiIgNpWUEYdQR0xvh4kiNtDqjUwqSYke6Bx6u0oshrA6lowGo1gRAn0+wlmUjja+AilWZHq3XiZkiKImOKlpO5LvZeMGFp0Vew751vggI3pXtsSVcKRJpCTQCEoPEjjQO4cGshVAQPhucRYeLdMgfq+hWWqm8+qCz+7JPJDqSnq6DVzIylavSzRmlwWpoWEPlTJuHG9f9zc6yNIycNgPS80XtoKRYjMCHdqI5z3bUdqY/9H/QGp/QZTwbU0iUAuuHx84r3ykzX4eCJCEDE74FuuaEUpWesmdV+BR3CRoFUaZJ+Bhfu/A4+2PcArBFJ02bl2uthtZpghQmVjVJbpy4Hm8f4LGf7c54qCJICOKCm+XFQfifOu/AnUNHq8S8cBwv1eWcLqeedO3gCwzCQwAChnZN+zOR7dMr+J2n/gh03M0GmHADkT2cWj42J4eHJKTxPFpGIEAfFsoBazWL/O6+jfIcUr9P0fgUomkZFJ4nLLpKsQ1ptcg2ZUDCAgQEPwmKMlMcfgVHNwTVqgzowMHE9JVYmOTCZ6+LuAwIUz0/4HsdaXsISywZYzSVwRnhYZEruepkC9YgriOfePYbtVh5MEm9pn3M8LS+hLABNELAPDMGgmb57xGo1xT2rvWsQgBY6kwawC51dvtSsaGcstMHENUFFcjjzwhWxc15OA5DAUz97AWu3lypilerhMrRbAAAgAElEQVQ/bkLUiKvWq6f1PU0EnFYLmgvDw9Kx97JaTeho6gafgEgBgL5gyaz3q9fRDRoAy4/9GWxe+1VUNT0L1teBwpJPw6QqjWsf4nlsWvnFpPdJ9P0uFES9e5ZAP0AAh2t3YUXeuWNfNA4W8vPOBlLPO7foHBCSWVjKMOv9mOlnHUnfgPQRwdNEdO5Bm2Et7EP1yDQXI9M4t8H0YxG5KQWAlJWVZcpceW8AOFM8vg5AdWNj4xSqi80sVKIY2YBTsDK4XYOxc4ee3IXdh71498AIrJZhUJQwO3IcAbUquaYFL7q6oqFEtFYNnW7q1rVhb59CJ2o6YECAnmCdQPtICzLdtQi2PgmnewARXhm7oiYI0JRA8nZXdSPX8AZ0JAHtGFWdVxQkzmi784pVyLca0ewXeHs07mY20D8gEOGl21fFjhkzlYNfn5GGW75zJW6872oUbpXa5RkEnaTOoBlv7nGiXhZMPzQgkMW12UFsuGZ6i+ZEQJIk9AghSOmx+y9voKe6CQG3D3ueFPTMinTSz2up0YPLL7CCmsF6fI09e+H0dCqOMWwEg70fAADUYwjLRrFpxWewdeO3Y67AKLxZZ8JpWI7i9ffNWH/nGjQ/agz3vz8/HUkhhQnCHxTcY+QUCoPPN9aXXAXj8jtjr080/wvq/t3wnnwUte1vzGPPlBiXTJWVlZ0H4FYAuWVlZd8rKyvTAbgPwN1ik98DKCorK/segG8AuDPxneYWV5/7HyDyb4fPK7j2ivLbUdvyJgCgq0eypGg00sToD2ihUkUQDKrx5rvnYMSnXKDSQ33oGzkZ25mqdBqFsKWaDUI9icLDJ9uk9Go7FV/bbTLgCHLCZsYwIxG4gea/gE7AkbauklxzK41SnFOaIbE7g2W5uMKVAHD2ulwYdTQYVjjHsLOnHs3wBMDzMMlq4BVtWzXGFRIu/coVIDmJSPe2SbFyjGiSW3P+ujlT4aZJYZA1jRjw2lu9ePE3r6E7LOxfNGqJwG+6dAOKts2ce2/Q0wWdYw98J/+uON47VIcchODneKwouHjK919deDE2rbjplMriGw1Gp6yRqSWIVDB6CgsaYTGTj6LnXvF8JpBpzIOdFjZxtkh/7Lh5uBL+kAvHK3+K422vJbt8TjDu+tvY2PghgA9HHb5Xdj4A4Csz3K9pg6IoFFgLcVLGF83uCjR268FyRCw3MStDUuU2GgJgGBL+gBY8TyIUMgAGSYlaSxCItD0DlhcECEkVDU6UD9CwAVAEB4afuKWKirhi/cjPvzRhG28gAq2aAj1OFhkHCiqCnVD9O4YNxL54IwmxMreSCOVl1YEkloHjKYUbMDxKZ2JtSSZq24bgDTJQ0SRCkfgAc71WBZaPkqnZCdrlOA4MR4ACA5IksSrLD5WahsY4dpmYKCiaggEBeESPtVyINSoREdWAmgusXmPBvjrps2r1SvF+Lg+DPLULPeE0pIkin9NFa/8ROAeqYMsRMkQJGTFm2Aj6u99FDgCPvgB6zfSI/6mODctvRl/NLxXHOgaqUJKzJek1/pALaloHmpq7MZRCClEwYqF6lWp2dehmE2pdDuAZjDte2/B32Egedm93gqvmDotWtFOC8hF1A3tjC7tKFUF+njK8i6Y58KxY8iKcePdcUNaFKy7dC19oGEajMDlmasIgwccyfSYCedslmfEq2i5fGP/1+4/w4MtjizcCAC9aTCrrx1emiDBK61k6RSDAKV2Ea7UDWFogxJIFWLE+WuG1CISUZMmoF9LE+4f80I4SL7WkCVkjBi0NhhOeleMSu/n21/ThWw/uhzcwNbJ15LkP4CFNMf2o8++6HGd/dnIKv5yMULIKMiX8pbVztxAWn5FYVR0Ays8sxie/diW++K1zZ0zniul5E7ZIP+yOw3Hnqmr+GCsXw8+im/ZUgYrWIHvt12FZfU/smC8gzCNHTvwNlbLahIBQgsd54vc4evz3ONr8gqI0VQopzAVYViBTavrUJVP5OYlFAG2cGPbAzm4c9nhY9GSKSEBuWHHR1KiFhcE5oFcU5mXEj4VnE5vu84sFdtzQ9grOuHEHNuRF8IkvXQwCPPikclzx4CjB5Oq3Jo7D6eoXgviONTsTnpeDEN0MtrB93LZuX3zAuJeIJwpaVQSFuT0o0PII8zzys9ZiVZGQtp+bpcd/X78eRq0kfmnQqqCmpSF10RZBOiLDpAHLC8cjSdLJH32jHoPuECobp1ZypqpDIHLp/NTD9SK8ZKjlweOdP/0bux56A3ZGsMTMJZkyZWdh52YDPnV5PpaalPpR1mVLhMK/MyTTwLARaMXfSaLxIxfkLMyfuotvMUGrMkKvMcGdKegYh8UahDmhXlj9rWjrl6RDOhxC/F0OAsjynMDJtlfR1l+B2o635r7jKZyW4MUNtFZ96sVMRSGvDmIn9HCMKmWWKMt5LrHoyRSXIDZDbw6A5FnoKWGRYHLNyFx6U+w8SwuL6njhTzwXhsaox5m3XgyNUQ+S4MEl+Eh7jjVhpDN+kSLEXf6SzHiVawAIhmdHkykcEXQDTngk8sDQegSt58Fv3RE7RpEcPre+DQAQLe795U+txTdu3ICf37Ud5css0Gule/Q5fSgrFMgWQQAXb8kHAGSatTHLFDuOZWMqlil3n0Q2b/jm5ZO+Pgoa0ufd51Gh1WvCSZck4zCXZAoAVl68Fbnrl4GWEdRc2gVz7uSKYY+H/pGTCY9zHKeIBXJnboUtfemMvvepDr1GiONgIsrsJar3TVSdfBYcxyEYGlacI9ggqN43YR46Mqu6aymkEAMnxKrq1DNX+mo+4I96UAgy3nAxzyX8Fj2Zyii7DIdqldXnt51djw1r67Dqk0JdMEqth5qWxdakCxNk34gNADA0nESDdFT5FgKIc/OFA0G8u6cVjXUvweFqV5yj+Ag4nodBK/WvtnUQ9z9VhUCIAScyGJpn8dFjb8Njj/cXR7F0zfUAZINtDDCMQKYaHFJdNILUYEX+eViZfz5G0soBAGV5ErHRiJl8Rp0Ka0qk67RqiUzdcskK7NwkpKp+8ao1MatgllkLTiRT0fdOhggz+UDegZOSr3w6WW3rV0km8BClDNSkuMicCHYmgn1ICowvLZv5UhDRTJ/RqG59AU09e2Kv1xZ9Ysbf+1SHUSfErNnC9rjaYRZvE0727gU3yq0ut/RF2LF/DymkMBMgxfAKvfYUJ1OEML9TbAjEKJFqU9b6+ehSDIueTG0oy0a//ry447n5I4gwgruLovWgScnqkG0TyMSAMxOHjqzDkarEliMbM4hhb1/sNUnw4AkKnUdOoGm3YOZv/vAYNm84gVybEx1VyuKoNM8iBICS1ZL77fPVaOoawccn+uHvd2IrSGwkVKh1aPHeE8kLPS7L24ghngQ1AS8jJ+5SQhEaHzkt6CXMWFokaXARYn9WaUYSXi+HRiUNoZ2b8rFhmQV//eb52LZKKueTadYgyjE1jsRp5NEA+0gS1+pYcPYIJHN52nh6V2Nj47Xn4dPXLcWO8niF4Exq/vzxa1ZLZFszC7UAo5k+UTiNQumXLE8D3EPHASCWSZOCEukGW+z/RGM7EBoCyyQv8xOMzG4JoBRS6BtuhIUPYpgjoFPNe3GSaYERN7k6PoJsCARxmCOhW/pZrCq4aD67tvjJFEkQ+ORZxaiqWB53jhElAlS0HjQlLaCZMt/s4FAGGCa5taPDLql9R8u+vbHbgd1HvPAPuvDhsSDS04QJk3VJlg2O42AmOIT4xF8By/Ho3a+s89fPjp1FxYGECslrhvE8D7c/jGBQeO61pXm4+eK7sX3D15BlKoi1IxMUz3VlxBNSANBq4j8bFa18pkyTFoGI1C7CxMsjRK+ZStFon0vY+S/fWDTpa0fDsrwAan08YZlBGadJo/zqc7EuJwQj58XyCzbN+P2jArcAMKBfipWFkgUqGtxpscbVOE8BQvFjB5K7fzPdtVCFk5fACIXnN2g2hcWPXkcFSIIAkbF+zqRdZgta0zIAgJeSvAha2w5YzdOf+6eLU/uTnSBMOhV2O9Lh9ysXSVZcRDQqk6JekZrWY1XWxMzvtEy3I9umzJTwDboUrwlKcsEdb3sFJEEgPUkR5qfea0KQndzXwxEkSIJIWjOsqsmJr/1hL0hG6FcwrErYjiTjmcO64sRkKpnulBwaNYWKJonMeoLxAfUxMjUFy1TUNajWz0zNKbUm/nPJsc1NseZkuObe63Hrdz45Y5PhgKsdfUMN4DgOYbHelc9yFjaX3QxtAmG/VEp/cmQuuXDM81kECz8HhfBgFGFmetbUFFIYD2xE2BClGWe3dudcYH3pVfBbz8WaVXeCy7sC/Zo8LM89Z/wL5wCnB5nSq+GjNGiuV4rt2cKCi06tNoOmpAWUJtU4/65PIIuQyJDbk3gxlccAFZ5VCJ1Oes2GIzBxUnYZIYuQU4/Eyx38z8OHFK8nnhcogIdgUQolmaB7B1/Fjy49gFWiCCfLJhZwowglmRhJ35D0PVcWZeAT2wvxnVs2j9m3VYUFaPAK/esfrlec43kebp9gsp1szFTI64+JaqpmiEwZsiQLIMVFQPAclm5ZMSP3XigItP4TkY7nUd3ygvQ7EEkUSZJw8kpCraIWbnHUQ3V2/Pb5Y/AHE1cvcI4E8PwHzQiGk1c3mA5Kc5RWO4euGIOj9OY8pA6ZxrxYUfJoPGRknBjCFFKYNsTNtVo1vxvCmcLK/J0waNJQnL0ZW1ffuWCsbfPovJg7RBWjHX2ZqG8isGpFm+J8mj5H8Tr65VjSVRgUE3E+OrAJ527/GOY0YdEPBihodSw4mRXIM/Q0LthBoPbEMuQt6cfBt4cRSqI466X0MPJ+DOhKEN0v9A+Nb/LvqW5CXnnihZ0XC7CGIj4YtZlx58t1vcrnRGLBR1JGLEc4AutLrkraH5Ig8Onzl43bbxVNxpTUDc4DgOjfjjAs9tVImY7hSZCpgcZOvPByK4RykIDaMDPxRJblBdhc1ASNQYO1l58LV3c/MouXzMi9FxrU7obYlkpukdq06TvoPPqT2Gt6gZKpf7zdgA+PCeO6vmMYm8usaOl1oWfAhx3lwnf297caUN8xDJ7nceMF8e7+mQRZeC22ZAkxlk1VP45JTuSIlbe3rLwNLMfiaOOTyA52IMKk3HwpzCxYjkFl3cOwZm/D4FAdbKwQ+6o+RdXPTxWcFmQqCpINoLUtH8SIBiu3NcSOm7RChhSfd6Vip6jTq4BYVjMB+8kimLcIaeTh9HJoQ1XgeWm3G504165uBgB41BpoSCn1mZDVzqO4CDjwKF9+Y+LO8jyC6vgYqXdfb8YdyciUmOkQTqLp0BGiUKQR+nN0RI1LzkjsZyZJmWUqszxx/yaJZAruv3r6KFp6JetdMMQgwrBQ0eNnzlW8U41ojW2aC8OYHU8gp4ptN0mum8VKpADAJPtadKOUze2kCTZOSPlXqRYemTreMhgjUgAw6BJ+u0+/14S2Pg/yLAacaB9CfYfwI45aP2cT+VlSssownYFccSFzaAtjmyaKpECKki0pMpXCTKOpZw9sjBPofVOxXdYsEsvUQsXCsI/NAa48qxiVKgP0zAA2nr9dcS5qiSrK3ohlS86KHedGyQy0uSR9H7VZWMR5LrnrgCB46HRB2WvpnJaPIMATilgUSlZIeOkobZpYn8b4ygiRTEUYPw7X9+OuX30Qs3aFIyxoQrL66DQ0zPrEcTC0jEwpiNU0QFMEdvVKmST+kLBIy4kUANS2DeGLv/4QHv/4C9+AV/q8tAjPm3TBqYZE2kbDPAmzbpR+lSzDVUVNb1c76AqCmWA8nMsbivvtjQbP86hrUwZ2P/t+M9r63GjrE8bWH188jpc/kqzQiZIlZgpk4XWgi25QHCN46Rk2ld2mOBd1qRKDFUghhZmEPKFEjkSxkCnMHE4bMnXNjlKo0sz4kLbguJeEpujzGOBV4POuBCC42Dh+7Amc46SPK+oK43lpYfKNWitIkoNOK89cE+5f2fQ0TCRAySxVH5/oB8vxWFko6ICY+MQkzaIdo1CwSHwiTBB/f/MEcix9eK+iHQDw7b/uR55aer9EyvBSv+XxYzPjOqMpEvtqpF27JzAwZvsh9/gFkTlZJqSKSBWanSgqa/6keO3ngPJN34sLMidlKf3qabj5Khoc+NZDB/DLp6sSkqRhTwiPv9WAvkEfqpuduOdP+/HOofYx77nveB/eqxDKHV27ozR2/Kf/kMiJ269MxPBNsVTRRJCftSauJFSaZSMAwGksi4vryEoT3I0mEvAEkuvHpZDCpJFkbpfHBacw8zit3HxRPPVeE2iKwMPf+h8AwOfuF/RhPrG9UBH/U7SuCMf7+pCvdqE7nBYTngQASty154R64AuNwKBJR0SQ7Yy1IcnElimrT3ADamWD/q+v1QEA7KIlSaUT9Gv04WEwhBok5UeQtGIsvkeKfQr2vIPtq9Ox0zaCw24vOH4VTMZORVujLvkPiyJVMTk0k96WtN1kILj5SFSNqLEpPYwI64c/KC1uJMlApwnCFxAyIjv6PSiyjb2TkivgmlLhABOGjVNmmUaF8EZDk74aGDkKQBgTU8WeY0ItupYeN7oc3rjv9Yl3GnGs2Ym91ZLL7u2DHdiyPF6gNBRh8fN/VqB7QNp9F+bEj5NleWkw6lTIMGtwXvkS/OjvR3C43oHPXBhCunHmtboSoSxvB7xZ65CfwF2fm7ECne3C/8MNfwab979z0qcUFj+4Ud6Sfm0hVpVcPU+9OX1w2limAICUudEYlgfH8+gZkHbfbx1SEo78TWW4+bNrceEd54tHpOtpSpqQT7S+NOqsAFuOE2aNtHBZc704cuzXY/bRM2o3rVWT2K/SwVcoRFyM5f0oXCLU+NMTPNZlCW7CNHIAz+1uxqolkrioiyOwtOSTSe9DyhZXW8bMZLFFpQ+ielPu9pdQ3/UuLtlciayMQVx/1jF8a8cxWDIE2YTH32pIeq8oGJkeVs6SU1uMbq7gDUruY7/ImAlz4u94jUzIdToZM/J4uZPdSiFYjuPR3OMafQks6RI7lpPuoycHFEQKAAqyjfj5XWcojq0uzsB/Xb8et15ShsIcEwxi2aOv/2k/XElip8ZzLU4FRm1G0s/OkyX1+XjrBzP+3imcnpCHnthVOdi66nYYtRljXJHCTOC0IlOjyc7rB9rx/UcPj3mNOdcCtV6a2IMhFQYdBmSnSTXKeFHFmBxVHGhpSTesS5Q1u3J4f6yo8oC2FEG3UgF5ja8fN2dJLi6VyBdqOoUFJ4keJwAgO60U/dCAIghoxG+W4Qm8V9GFLJ2wgKSVfQnrNn8f2WmlSe+TbrDBzQk/RCqB5tRUEI0HCzPCAxlJwOqtxFmWAL66rR6rDYIFb9mS8Qs1RwIhvPWHV8HIYnryVuXPSD8XK1rth3G4+vdoOvFg7Fjh2v+G33IOykuvTXgNSZJwZ27FoLFsyu/rGAngeIvkxhpde7G1z52wHmNrrwvP7j6J3z53DP/5u4/w4Cu14Dgeh+r6Fe22r8lBhkmD3CwDfvb5M2BJE9yRZ69TyqDccfmq2P8vfNAMjucVUgqHTtjxpd/sQVvf1AtlTxZrCi+FQyskgXi844/7FFIYCxzHoaLhn9C5hY2oN2s7tq394jz36vTBaeXmM+nVGJTF4rzykVIiQauWLB0VDQ68sq8N9928CXpZ4OruPduRQ7qx8VJZLT9SDXfAGcuMUpXchEjbM0n7wYAAx3PoftOIw5EK3HL7OmjVFNaN9AL6XDTJQih2XLMZr7/QBIaIilqOE5hLaQE2BJNYV2aNicHRgg4YVSxYnodRO35ZEI1Kj7WbfzBuu8mAFXf9oXGESDW0tMDxPJ8wtuvIv/aiulfpdspeVTIDvTx10NztQpfDg52bJkYi6b63YQMUOwq9Jg0rCy4Y87rp1uOrblYKtI4u3j0oqtdftDkfuyqlGovOkQDePdIVe13R4MCTOhWOtwyCgECOHCMBRbzUEosB3711M9z+CKzpSr/vhuUWXLQlH7squrG/1o4jDQ6EGQ4/vH0rCnOMePi1EwCEmKs7r1gVR8ZmC2ZzKRDsQCgYb51LIYXJoN/dguxAe8xEQpEpod25xGlFpr541Zo4YUw5bJkSQXrwFUFUs6ZlEGeulccNEbEFyZW+CWkjVQDjQ0Pzs4i2yk1fjlaeB50kEDCd5DHCkeiNCMHmg+19SPcOA3rlBH72GhUsy/JhNrTD7QuD4FlEuLGlPMNIB6CcmG9ZLSxKPk5Iy54PnLE6B/1DfuSmjR0obtRKZMvjj8CcQGHd6w4CEMiUgfPikk+tBjUBKYXFhF88WQkA2LDcigzT5GOAnDyN2dRDfv79ZlS3OHHGakHD7aYLl+OZ3ScRikhkiuf5mNtvZVEGygozUJBtwM+fqIxzdwPAnqNC7BUP4Jz1iclOmlGDtAQxUSRB4D8uWgGXNxwjUgDwrz3NMemEKB59ox6hCIsLJkhUpwOjzgoGABseu0bf4WO/AcBjVdkdMOlSdRJTkODyO9DY9ASgMkO+UuVbN85bn05HnFZuvpxMPb5325ak59vtHrx+oB3f/otUb49KVDlYNA7liYOV5kKwMUOJmgAA7HR8IG1Ytmtw9gyiQB1fzdtaLCxEN+wUXIpqJoAwMfbCGYwkJ1thzB/hyLcacfc16wB67PqCJCEttu4JyCOkaVjYVid3WS52PPRqvJL+ePBwQF7pZ2ahNxLePtyJvkF/zPqbZhTGe0i0TAVCDH72zwq8XyUQpOx0HTaXWZGdoU9IoOUYK3liPHz2MmXG3Yn24YRJHTUtc5NhZ9aLSkCRsZXQbbwPNt6P+pYX5qBXKZxKaGx7VRgfYSku1qErhkEz9lybwszitCJTAFC6xIzH7lO6Nu65QRKmfGlvKwZGpAy8aDzHHXdvgYETdo9R20qmMQ9uDrAQY5epyMk5E0PDygBpDScRhYHexCZ+Wi0sKhniTptkg4hQWgRGPAnbAwDDJTc2MgkKGM81KGIn/t2efGetktUqHPEmlkdgZYHCdCKyu8gRCEnjrbk78dip79qFwzV/xrHmF9FW9WPFOX3+5chJnx0Cur+mD0+92xR3PKpp5vKFwfM8vvLA3pgeFADkZ0t1Lb989dqkGXc5GTr8+HPbptw/vZbGfTdvwqfOVbqFv/yptXjsvgvw0DfOg1pForplEAMjs1/qRa9OR5jnoWKTv5dCF4xN1fJLYRRGyejY1TZsWXlbksYpzBZOOzI1Gl/7dDnWlWYldZVEM4e0ZiNYsd5WplkiLIFROkzD5vUAAK9oBXLoilGUvRGsax2OVK2JtdPnXRz7v92XOBONEmO1omKDrPijGWrvS9geAFguuR4QS+mTnpsr0DSN6ubk5WcyTdJn+9vnqnG8Jb4osksmGq1WnX5D2DOOXtKgpwsG5wHYmEFkeupAjXI3W8dIPpgOHCMBPPpGPXZXdcedy80Sxl59xzDu/KUyc+2KM5VK/EssBjzx48vwiy9sVwjZAsC55Uum5NaUY0VBOq46uyRGqHQaGptWCNZjjYrCkixBKfqJdxun9T4TAUmSGCE0SCd4RaZlp7MGx6p+hr7hJjCstKkgEgiuThYRZnwNtxROIbDK79NkPn0t9fOJ028lEnH7J1bi3PW5WFcqlCC596bE/uUDtX2IMMIEdtYZVuSpXTj7lp2x8xwtadyoSm5C+dJPAQCWLL0FdrUN65ZeDwDYfM2FULsky5CVT0wolpmk2AlaI7gzMs0CQQqL/ojhnuQuiEBAylqy01noiUjkJL/g0qTXzRX6h/xgWKWFrJeQzNE0yeG684fw6bMOgSRY/O5fx/G+bHHmWBZuTgouTuiGBVDVNIAv/WZPwrT7Ux27K5RkpbZVOR5aWp5LeF2A55FX/t2EdRtnAqNFMX94+1bc/omV+Omd2xLGMQHCZua685YmPGfL1OORe3fioW+cFzt2ydaCGevvVWeX4G/37sSf79kBSiZf8NXrhA1RbetQzC05m+DVApHrHZRctkOdryKT4BBpfxb2mv+LHScwvf4ca3kJ3cfvx7HmlLtwMaDFfghZrDTHMTyP5Ut2zGOPTl+ctmRqR/kS3HH5qli2mFoV7wIjCQLhCBfLACy7aAuu+vrV0BglCw8hi47KTZeKqFrTirFtzRegUUltVTSFI1VrMBwpR9XriSUZMqxS/SRKJZCpNIMav/rymfCKGX09XUNJ1drtQwxCUTcYG8Kmjd9GM64Bu+SaOIXm+YAQOKwcdrROiikzMx6s05zAGhOD7CzBKvXku00Ycguu14HGTrAyAcmNl29K+D5/eqkG4QiHB56vnuEnmH8cOqFMo3/w1UNo7v0YANA71AAjm7jem0uzZEYTEDr7PegblNxOYVlw+ZeuXoMimwk7ypcgzyq48L75mQ1x94huZsaCRkXhO7duxm++cnbSGo9TBUnGk3FBakH43X75tx/imV3KwPmZhlrMsPUHpaoA8l7JM1pJfnr9YNxNoAgCpKt+WvdJYWFA1fcuVAQBhudRuPEHKN30w7hKBinMDU5bMjUaUVFJOYpswiLw3UcOJZ9MxcnNP4FqJgaTGo6BLFTvolA/KEzWmlGxEmnZMiuNWiIN6UYNRkSh0NYRA3708AG8tLcFPM/D5Q2hq98DluNQ1z6EyiGRwKmM0KgoXLBxHUpy1o3fwTlASa4ZD35duXNaX3otnLxgQdPLFje1SooF+OaDQlJAT70grJrGe7BjvRYZhfFZXbyMaMrji6YL+8jJhHXt5gpOVwC7K7vh8UegUVHIswjE+/azKqHufwd1HW+D6XgexiS/6szMtYlPyNDr9OGPLx5HZ3/yuLy+QR/sQ3786O9H8N1HPsYLe1oAIJYhd915pdi2KifuutXFEnHKMmtx22VlY5Y1kmNZXtq03XuTwd2fkj6r9yq68OXffIh/vj2+kOxUoBMLrcN1QhpfSRRQqHFKXo0HWgwVOP0iDXCoBkAAACAASURBVBcfwowU2+vnU9/ofCNFpkQkIlMmMWiW5wH7YJLq7mLNMh8xfobRyrMFF5yPlIJtbWnKxX7J6hJkEYLZltZL8U8USWCQlqxcbL8Trx/oQGe/F399rQ53/+p9YQcdZvFh9Wa4MjajfMUt4/ZpPqAeJWOgVumwadN34tp9bn0bsjIkF5Z9yI+AGJR+7vlFWHP59rhrACAckZjt5jKpeO+uii783zNH4QtOvkZba/9hhNueQWXdQxNqX9X0DDqP/gSHqx9QHGfYCGorf4LOoz+B2z92fUI5eJ7HvQ8dxFPvCcHdywvSEAgLY8cmbkS9rpNJr3dAgyJrYiteFP5gBN/728c4etKJR14/kbTddx/5GN+RSYy8eagDEYaLfe6qCchU3HNDOc7fkDduu/lCntWIuz65WnFsz7HeMUnmVGESM/oyCQ517a+LRyXSJLdCU5h6DUqnpxNm0U2oJjhFjFYKpxY4jkND5zux15klN4zROoW5QIpMiVDJ3AdZZmEHnG6UzKVMEunxlSXXoI+2YNnKO8d9j6xl8bo1hgzJrXfzrWtgyM7A9d+6Ep//7zMV2kkEQcCQJrUtZvzYERyCd8SDhk5BqyeaZn7d+cuxrvgKhYtxIUHuWtk/FG/BkOO8lc2x/9v73GBEC6FGn9xK4ZdZo6IkmeN5PL3rJOo7hvG1P+yLWa8aut7HkaO/Qu/Q2FYHt0fQ6rIxQ+DGkqGHULLF4hOIjY1TLr79IydhFodac/euMe+juG5ISeb1GhpXntWC0vye2DGaSbzQZ676KrZs/DZU9NiWnT7ZhsGalrjYodOVOOtsyBPES3sFC5X8dzMaX7+xHHd9cjWWWAxJ2ywUnLnWhh/evlVxrN0+82QqwyiRSvXwMQBKy5ErvRzB7J1wccS0hAH9zY/HtO90BIGh+j9O424pzDaa+w4gGEmsP1ZR/yjSXUIIg0NbsCBCOE53pMiUCPkC/+2bN+FbN21EvlWyIP3fM0cTXmfWW3HGuruRFtWLSYCDdXZ8eKwHJEmC5pTaSbRWsmiZ86xiX0iodPELX7ZM1ZnR5yKgtcDV3BXXbmneqaMvkpVk0Y7C6dMiUyS3EYZDRAwIVif4fFzeEB57ox6Dbsn8XdMyiG6HV0FGWI6PiUJ6nJXIQRDOtn8l7YM74AThkiw1fcOJidewz46KhifGXKQCIak2HRPxwD6S3Jokx+jg7oKcMEr4dty2RlLxtxLxKdJ2OnPCdbnsss9otKWW43n87fUTuPehg4rjRWKR4T1He2JkbG1JcumLtSVZo0RwFzaKbCY8dt8FsXiv3ZXxmYrThVZlxAAlkMuomzsiq49ZZNuOFXnngiUI0MTU3HydzpqEx+fTbZ1CcjR074Havgs1tQ/GnXN6OhWaUkV5Y1cxSGFukCJTMqQb1aApEpY0HVYVZWBH+ZLYuXCESxr0PR4e+fcJ/OPtRrj9YRSYpDRWkmcBauIBwdkZ8cTDO+xFWXAQWREpEFheFmeh4uGjy1DroWHUjZ15QlMczluTjTPZCOxvH4TDJViFDJmmuLb3/Gk/9o3SOfIFGfzgscN442CHom3U1afnBEsLnSxIBUBD4z+RIdO/YtjEqeVdDY8gO9CW8FwUoYhU+80WtiM8RtmhYyedeOdwJ5q6RhRlWO67eRNWl4w9Flmex7Y1X8C2df85ZrsoOI7Ho29IQcn+Ua7Qrn4vDtTG148rXyYQp2PNgjv2nPW50GsXX2GFqO5Vl2NspfKp4rILfwRAEFQFAFaMjzQsuwPpeoF8sqCgguDiCUcCSQlSItj7DyY8XlH3EKpbX5lyv1OYHfi8wiY5B8LGsMNxFPWVP0Fjz144mh5XtM0yzlyGawpTR4pMyfDLL52JP99zbuy1WkUpUrGdrmCiy8ZEbZsU81PTMoidd1wIFScsxhxBgZkEP0tEplp6KJi1VpSqJHKhSZCZuNDQ67DhhQPbwXOShcmhk4QUozIQNMkhV2VHQekAnHwmXIQZS1Qu2MqkYij7jvfhc/e/H3vdkSCuJUoEolYuX5DBi3urYvUUjSQQiiQWRCR5pTUxnKRdOjn+lxlJcC3DhnGs5SUcrv5dTAMoGGbwhxeP47n3m3H/U1WoanQAAK7ZUYoVBelwDh5L+h4DvAr60lvH7Ysc8nEKKF2lAPDhsR7F600rrLjuvNKYWnn/kB8kQeC2S6deFHkhI5rdB2DWxDy9nBQpFdWT0qgkdyhPkCAIAoGIB9W1fwK6XhbEWWsfgi8ULwHCckxsPNnCwvh38jQGTZJLKJcZQobr+Kw8TwpTBzdqw+br+jcMJOB2HIxLMCHJ1DK+EJD6FmRQ0VRc8Gz3gLQT7XNOXn349f3tsf8HXUFojHostUhWBiY88WDo7Aw9tEHHuO0SyTwsVMizJLesvBWDojBqRMxOOcsSQLbuA6xe2QpbtrDgn3vtFsUE8qQorkhTYZy1tgY0lbwMTU6GsCj+4olKNHQpZRP6Xa0Jr+FGCbNGRmVgugNO9I3hrmPYiPg3DEa0TNlJifwGwh5kumth49zoGBBq7nWMis15fpdgbdOoKISZIHJCSnIjh9ayKU7hvLnbhcferEcwzODxt+pR16YsfxR1cxfmGJFmUMMXlMiUPxjBnmO9sdfL89Pwn9euwxVnFqN8qSRrwfH8jEsXLBQQBIEbdgracN/+S2Irz3TBQoqJIsRAczUdH/dYd/JZ5EAYgwbnAdgiA6hreAyAMsOrqvq36Kv5pSLRwZh9NjYuuwF2amKu3xTmB9qg4MZzi5ZKleje5YnFZ/VdLFicM98MYpks/mgqafbyHX50gdpw6Uao2SDO36QHaRbUz83s+OKS2ek6cPz42TyngmXqos1CMP6yUfFdtPh8/gTZkSpVBOA5pOUrg9ajoqbfu+gwLslzYcf6Opj1Knzt0+sV7XaU52LrKim2rdQqkLMucRM47IqPPwMQk7+IgmGUweD2+j8jInPXebOUWYZ1HW8AAKqrf4PsoPAelpyzYaeEZ69vlq4NhoVx8PJHkrtQp5EmUI2KhCegzAJkeR4vt0pZiyb9EozGL56sxL7jffjb6/XYW92H3zx3DA+/Vhc7HxEz8c5cY4NeS8d0vQDgl09L8YJ//Nq5+JZM4DYrLbni/mJDVCUdSB5DOR0wBAktwSMcCYDgOfA8D1pWw5M0ikrxCUrPqFkfKur/ge7jv0Rz7wF0DhyLuYhGfBLx1mqFGqCjkxVSsVMLB632w0gTrdxmEjhc8yAYcXNpEssJRaVkUlg4SJGpcXDl2cU4e50QsxBhJp+WnGGSFhtOFNPMKMrFnd+9DKsu2QYu24qe8AhKPxEvaDga2Rk6RKdRLeuHhlHGbywPDoIiiVOiXt1nLlyO3/3XOSjMUcY+pRVeiQFehYKi+EK8JMVBw4VAqZQTicl4Av95wUex1zTJIc9qRKZJudBftKUARlnAf55J+DTrhoQU+NBIYoFPYhSBZVmJaLTYP4Z2lFbSyvyLQBZeBycjHB8ZaALDhmElJCtkU6cGhnTB3SIvkh0KeVDZOBCLWfrzPTtwzjpJS0utojDsVZI+B2lG9cnl+MhhwK5eM3weJZlyyNxSLlm9w0Mn+mP/RzWi1CoKJp0KDMtjf00fAiEmFieUbzXAoFXFWZ+uPkdwz64sjC/WvZiQnaHHxuUCoarvmHlZAQ4kSIJAT82vQIJDBEoXTnGuGIKQYENFAKADXaAJAiP9H8Hf+VrsXDAsESeDRtD64gjld+gLLW6ZhLqOt3Gy6sfoHqxF/0grGrr34Hjrq+iaRNzZXGF4lMSJjXHGxKEN4tfGqBb3b+1URIpMjQOKJLGuVAiyDU+STAVCDGpkpT7YUQHsEYbDU+81oVdths40fqq4TkOjSmvFcNCJG79+EVZ+ajN0MtVkG89BraImLIQ4nyBJIlb8FgBq3ziIh+7fA7JLh82b/gcj1fElc7TqMMCxePytBkV23qdXdsGikp75LEsANM0jz2pAnkxR3qRXQycLjjbTHII8j7yMLXCxPPRI7HKlRKFDn+UsAAAri2cYdFYp2rozNoMkSeRnrcGrNUIZlBJ1EO39R2JtWvwknn9/EMty47NwrL4GPLV7L7oHfMg0a6DT0IpgcG8gAl+vEB/G8TwCPI+SkqsBkNh9dCP21azH/z1XjSfekerK3SdzS7X0SgHwctR3CIROr6Fx3kYhVf/RN+rx62clC8xdV65JeO0VZxbhmh2luPuahSEMO5v40tWSmCc/TQHN0eDEQuQUQYDiubh4SpWoaTc6hg8ADGBjgp48CBCyrL9wRCJTJlEgdHnZ5xTX9ziTx+Cd6mA5FqTzMDQEAa7zJYTanoR+YC/SXdXgu15GU89H499kDsH5hYxRufVJP0qpn1QZ4c7YAhRcM6d9SyE5JkSmysrKLiorK3uwrKzsR2VlZT9McL64rKzsH2VlZfeKf8tnvqvzh6jI5GQtUy29StcdyyqvlwsAWtIn6C4hCDRrM6HTqnDmGhsuvOsilBii9yGgOUUL/x6sFp7h6J5GvP2Hf8PvDqDyqFI0UaMJo48NYm91Lz7/8/fQ0DEMjufhTeCh2Lb8EAiCwE/vPCN2TKvm4XI9h7ycXpQVtyKTFmJUNiyzwMcQ0BM8WI6N03YxIAI3B6jFIH8uJBVfpsMCCfFxQB+VgVWFl8XOkYSQMMDxPEY8Ukr9kW7BTVnZ6EQfFb/D/K/tQo22aMHdiGzclBWkQ0sID5y95utYvuH7yE4rhXqUlMEHR3smNF55nsfRpgHsrRZiNMqXZWHTcsll2NYnjdGCbGPc9QBAUySuPKsYRt34wrWnOlQ0iVVFQrwRy80smaKNxbH/KfBgR+mUq2lhjjBw8WRKTRAx11AmH4BOtqGKiON5kKegVgljMk2fjaBVqnlocB7A4WO/XZTuvsraB2MWnUTQOj5IfnKO4Qu5kAMxaaD4WthViSV3SFKFtcWXo9Cy+DcwpwrGXXnLysr0AP4C4J7GxsYfAVhfVlZ24ahmvwPwSmNj468A/BrAP2e6o/OJqOZOtODxRNEoimlaxLgSbtTkG9U6smXqFZpWEwFBECAIAgV5GTj/sztjx0ari59q6A6b0eY34WADC7vDgqpjq1BTJwT+2nL7kbetC0sLBJmDpu4RtPS4kEnHW+IKeInw5IhZkNV1f0I+N4C7NrTikhWCi2sEKuRZjfBzFGiCQOXx38NR+1t0OI6ixf4xBj1dUAMIE1Qss8rGeeEOOBGMeGERiU360ptwxvqvKmrfhRkWDM+DJAj4XUIZnA/sRjS0CW4xb4CB3iT87+MABy+QEZIgQJEMckUydeMFy3HjRSvwq7u3wt73MHQEIWTsaUwxN9BPPy+RxigO1tnhD0YSxtCtLs4Q+xDBmx9LshFaNQ1NAmmN+24eWz39dII0H0xdjTwRNi6XVKxNZPzkTEflEsaZtVWjLNPRGL+IWlkHcUX+eQjbLoq9tvFeDHlnXkdrvmFjx3dhttgPYcQfL/0x13CMCCLFTp7GksyVWL3sxoTteG7mymSlMDOYiBnjTAAdjY2NUd/GfgBXjGqzHECn+H8rBMJlwSJBbPJkJz55BsMMTrQLP+JLtwlp/KPdfF1ipuC1O5SZV5Pun16UTCDIU7boFpkksL6v34rO7lzwPKCigAtyPbh1dRe+cdFH0Gpd+NuosieM7DPuE1XNf/r5M/DXb56HTE6yOGWAQZDnsb78WwAAb0RYqGy80Ka//yBUfe/A1/x3UAQBjqBg0EhilCMND6KmViotIw8UjsIXZNAWEIhJsUqIW+p0ZiL6s3t290mEw2dAW3ob9Pm34MF3t6IzKHyBl205CrNBIFcZJg1u+cQqDLg+ho0XAlC5UVk91nRdnOXo8bcasKuyG6EIi52b8mLCk1+4ajUKswUr23sV3SixCUkQ5Uul55NLggCASb/4rU4TRbSg81ce2Ivf/WtmC2nLXTtBQklqKZKOm0MmhGgoQIJMMINWOU3bh2onf/8ZQGv/EQx5k2eozjZUfe+iqenJeXv/KLx+IWuWMC0FABi1GbDTFjh5GoTo0vNwwIqiy+etjykkxkRSArIByFM/3OIxOfYB2A6gEsA28ZgZgBNJkJGhBz3LVhSrNV7YcSoYEbPwaBU9oXseON6L//2HECNjNqhx6VkleOq9JtA0pbieFAN5SwoyJtzXn3zhTIQibFx7kmPAExSy0nQz9txzharX9iNMjeXmJBDhALnBxEQRIJlDIGVusmFzKbKtKxFpeRMAMDBShfVlQjmQcCQI+Z6bJAj4QSHXJuzWHf4tgHlv7DyFUcKctBorSlbgnWY1LGLMSg6kwO5sSwYsacrPPRBi8Oz+bfj+xVIdO5dPSXge/vcJvPTLK1Hb4gTQDk+EArQMtmaEMGDSKL7LgL8d0QgwSmuK+55/fvfZ+P5fDihkFToHBPL1/+2dd4AjZf3/X5O6m+293l6/53rlOuXo/UBQigiCAgJiQaR8RVHBDoLyU0EUBAtFRRFBejng7oDjuH7cXC97d9t7y6b9/phJMtkkW7ObZO95/bPJ5En2eTKTmc98yvuzYkEF86cWctJCrSKssbWLVz46yItr9gfGfuHc6YHP/Npl83lzfWUglFVclElBzsi2J0rU49huqK7cvKeeDo+PsbpBOhQKCjLAZAY9R2/ekpsp6HFMHRxEPqT/OLXb7WHfqS21gt37g8+zGtdTsDC8+CMWHK7bxc597zJ5/AlA8PitatyP5cjLVPtAnHlfzP/vLp8Pu/69dRbOJ7XmE2qVFLJL52M9vCYwLtPbMazHXH8+21KpGeoZGdmB8eeeckdwwLRlwzK3WJOov93hpD/GVA1g/GYy9W1GbgW+JYS4BWgE6oFe/cWNjVEaB8eIgoIMamtj00errVWr3mpu7erXZ37yadBdPKEkk6Ymba3rd9SwfVcNqXYLv39hWyCxuLPD2e+5ludqXqie480+zZg647jymK07Vux9bxN5E0rIKguP/9ftqeTFVQ0R3qVRammmsMiB1+Sjp9vN4WvgxuO0Q9Hl8zFnotbY+WC5BSpfoKu9idparWVL5b5/Udgz/IE58F1lp5bR6fWRqid6+tyhxpTJXkJtbSu27NnQ+HHYPJubnPgMVVPdLg8ut5cZ4wpCxjU0ZZOWYuHk+WW8uEZrEFxV3cwhPb9uY+VCZkzTEsbdbU9TW/stbX45dvI7glpPFeXnRNzP3796IZ/srOU3/9KqlHbqVWdelztsfFqKJURPytnRHTJmyYwiVm/RjuW2lk6UAYa5h0Isf7+x5sTZJWzaFbxP/OmfPooYZh0I/vV6jI6n7qxev4P6jGmk2HNor/uYQjQDv90bPQzocoefNzzecI/jcH3vGzc9Q7G3hT31O9hbOJu8zLkUZo1jx4F1ZABpyvD87yYllSK6cJeejShaSE36dOZljMNkMvHx4eB314Fl2Nbe3+O5s2Y7aQo4u4dvPww3ifzbHSq9GYn9CfOtBcYKIfzKhcuBl4QQuUII/+1YKXC/qqoP6uNfU1U1unJikmEbYI6EUfgzPysFk/+uyOnmjkfW8sbHh9i2ryGQ3JtqG7pmiFXxgsnCnEmJFV2t21PJq6sb+ceTkXV5jmw/EHG7nwu+fQFLrzw9TH4AoNwaNAQaUscGHtut2mFZ7K5j3bY/0r3vaQp1T1OzN/g5xlDZqQsqaHIHX7P4QnMSxhRrd4RjCo8Lm0edz0Jaj/53fn2xtFQrb1dp3qh/7SkETHzu5ElcdOLEQJl9p9NDm95776RZwYq5El8wLHmoJtjqxTruMvIzggrwPSk3VDD6PzdSmK5nxMioZwWESCAkey5eLJk7KT9EruJwXXugsq+lozvwnQ+OYGPuvkix5zBtzGnMnHkzRy25tOYuwmmQPGjJWQAEqw5NpvBjwJjj56e6KbJ47WBxuZ2s/+SnFHu1StJ0E6TVbaZr75/Z+MmP6GgIyhNsWX8vHRHU3IeCX1agPE9L1i7MmhDINZwwOdgpIFX/zbvcTj7a9gcO1m4c0YT8hrbD5Ov9Nd2u4VHZlwwffRpTqqp2ADcCDwkhfgRsVlX1TeBO4CZ92DLgCSHE7cA1QP8agiUJ1gFW87kN4yxmU5juU88qoFjko5gVLx4l8S54rz6rGVEuU3hj4u72TtZvjn7iXDw53ICqdUyMOLasKCiUmWoL3j0UdR8JGec0XlAMeU7Z6TbSzcH9kqto+7AmpYKimd+mIFMz1rIchVTMuzugTFzrszJ//ncwm0INkdVbtOo4h93C3MlX8cNXl3Huksu46cKZLNMb/abpmlfvbTpCTaN28sxMD/+eIFTZOq8XQwo0PaQfXLMwZJu/7YuR46YGPYXjSzIDOVp+PAY3iTVJq0SHA0VR+NK50/jKyqDhu+ewZih886H3+fqv38M9gPxKIz7dGOrPu826sG2KNZ3Fs25mxtiz8BA8B4zTbwD8UilKBMMJoEpJCzHeDuyPba++utb9IRprRnIVb0i4PMvk41BtbAVR/Tpx5gjGZG56GcWzbsfp85Fmgu0HX2fz5ge0RsKVL7B+868BqGraRbuhSflQOFCzgYMb7mHDrr8HtrncTnbvCT73+UZfVeVop18uEVVVXwde77HtdsPjJ4AnYjmxRMKfgP7h9mrOXzaO0vzeNaGMieo+fGHtXXZXBg2IFJs5Ju1frIqPNix4vd6E6tXkNtjrjQeOkjM2eEf/yb9W02WOnIdzwTlllM6eHHhe65iAt+Mw8ydfyq4jG3HU/i9kfFH2pMDjVFsmUU97KSXQpXvDDN4nRVEi5u6np1dgt4bP0alYARcpvsgXiedWaXf3Lo+XOZPyeezO08LGzJ6Yx/tbjvKPd/YAYDYpjC/JZA9zyW7aSJfhAtfdreU+VdvLqLD0LaNhFEOdVJ4Vsc3LpadMYs6kPOZOyo+oTXbB8eN5XzcKTUmgXTbSLBDBEG5dcyeTyoNq/s++tZsrTp8y8A9VTODrnzFlMvd+E+awZXHQS6CXmylCVwGARXNvxeV2cnTLzwGtCKPd2USaPTbCkIcq36R4AOO9vthWqin48Pp8Eb1woElO+HOq0uvXohgyCop9bRzccA+g5a40VlxEeZ6mNeb1eqls2EJ57qx+nXM7nM1s3/5IwEue17aDDmczDnsWG3Y8TrE3GBqbPq5njZck0Umcq24CYzVo+Ly76UgvIzWMEgqRQnjqoeClPpLHYDBYzD58igmPcyghhtjS3d5JhyloeD7ztErjwaOB5/X10fPmTD3CSgvEF1g47w7MJgtpKaFJ3J92poZ4hqyWyN4d2/gryM2ZFniemhl6sdvfoe2LZoNHpqIw1MMTwKG1w8no4xfk9kQP18yfEppP5fH6SEuxMnv8Sup8FlIUhW0HXwWg263dvSsRqgajMW9yPhNLM/nOFxZEfD3VbmHe5IKoIq95WSlMG5tDXuax0zJmIFjMJr5+sdayqLHVyabdwTyqN9dXhvVX7Be6ZyraUVPnC/4uIoXtjB4gk8mE0+CtTk2JngJgtdgxV3w28PyAQWR2qNhcwZzIKqVvCZiO9qN9jhkICr4+jVNXyRmBx2mm0KpgI437/x14vP3Qq3DoP6zf8ac+5+DxuNm+7z8BQ8rPtu2Psn39PRS7guLLdWmTA5pikuRBGlP9wGhMmUy936E7XZ6AJMK8yfmcrpeYf/EsEXF8U5sz4vaB4p+V+tb6mHxeLKjdHd7rruFAsHbBGO6clBkqlGmxRr/rTrOHVk7Vd5weNqZn76pWLxRnT2RM/hyOWnJpyprLjB7lxe9sX8w7Vem8ujfoPXPYM9hd2cwH20I1aGz23hvFpulK659bETksCdqxdOKcYOuXq84MHiOeVO1ePqP+Qz7Z+TRdTu3CbDb335j62sWzueuq8ByvgfDty+by8xuXDukzRjM5GZrhvu9oC7/+5+aQ1374xMANEp9u/ES7+I+ZeEXgsSWCMVVN6I2Ez+BvrSic13N4CGV5QZHcrq6ohdgDJsUge3Lc7G8GHnfkHx9xvKerNuL2waLgo6+g2cTiJSHnjDpTZKPPrgTXktmg7d/Uzr4lHd5Y8xCFnfvDthfRGfAc+vFKDamkRBpT/cAY4nC6ev9Z/vbfW6hr1vJbvnbx7EBS70lzywI9zIx0u2Ij/NelJ0+v3dTWx8iRo7Wm90RSr2Hpp990XshrVkdk7xKAIyVoTG1qtrJ4Wvj3OnfunYEwmcvnY8aCu7XPtdhZPOtmZk9YGeaaP25KBe9smktja2jFxk/+up5H/7udA1WtAeHVaRVncNSSi6c0st6LxWyiKNcRaMIcjZnjNWmG3Ew7K/Q2LgCTDYZefvsuUqs1I9lkjv69DAeKosgQXy/4jamP1cgGwEBzp6wuLffK5Yv8nRdkjQs8NkfwUs6brVV/1uhGldGYSrH27RWyjtNEIj3tUZp+G/j40ydZt/2xPpO0bYqPBp+JopnfDvnNKYqJlpwFVNlKQsan6s18Y4XN56U7yvdpxJoTbIyu2LJpzVtMo1ehOXsemeJ6ILhf/Bp24A/5R8ftcZHf2X9v26SK8JtDSeIjjakB0uns/a5h697oZf4Lp4ZLA1xzztQhzwngzJVa+MoWpb/cSLN3zWb2bNNOIFZvuPdt3TNvUdutyTyU28ONrvTC3LBtfmyGPKvqzrlMKA3X+DGZTIETX39Ngc+umMjYogyq6/I57LFRlzaZnYaQ7A+fWMfj/9Oq6ixmG4tn3cz4osieH5fbizVCnlJPjptayK++fjzfvzo0nJjtKMYZIdQQKbQjiR99FY/0db4II127MbAURvbaGDEp4ceXxWylcOa3mDv7FgBKx32GRq8pJITXGyU5gmavQhFdfLTlt1Q17Yk4rrHtKIVdByhyHmb9p49H/Ty3x4VFUfBgDss9TE8tZOa4c1k047qQ7VkmH1v3B3Mi91avo671IIPFrvjo7kdxTl5WMO/SZs9lRsWZ+iVACwAAIABJREFUzFnwPWaNP59sRzFNXoUMk9brr7UzaDz3FNDtyZ6qtSHPqxQH3rLIOVH28V8g2zGQDDNJoiCNqX7yjc9qdy3+qqtI9FXtV5IXPJk8ePNyHr/zFE6YXdrLO/rP1BXzsHs6oydbjCBVW/fw6rsNHOzKxO7pZHJh8HtRAFenk4/3m3Drd9Zn33Q2AOefod2hTs3twGyNfoIymUzUmlKpMmVx7dlnR8358eczWfrpWTGZFFbMK8XrM0Pq1cyfcjkPPBvaAHbN1io83t73s9vjpavbQ0qEtiyRyHTYyHCEexnSJ3yeKlsJtb7gBTtymrwkXiiKwlU9Qvgrl48LPK5t6mIgzJl0CVniBqaOCW+CHf7PI5++U6zpWPRwcEnuVOYs+G5ICK8vnPrvsthdT/WepyOO6XAGW7QUdx+Nauw43X7F/uBvwTL2EpzFC3udU6au5eZyO7EceZmO3U+wZd+LbD3wcr/XAdDt6sSqKHj6MHgASnODN7aR8suy9d6HG3c9Q1d3cP2mPhLmW5p3hjyfPOkKxhUuoEoJXg/SJl1Dxby7KcoeWjcMSfyQxlQ/mTMpn6x0G3uPtPDLZzdG1JLZsCt4txLpjlVRFO69djE/vX4JWVFK4IeCWfHiJv7yCO0NwcTbNLOL7MJg2OzD9w/g7gr1VFns2sm7fL7gxjtXcPL1fbdKOOu0e1g05xu9jqkyDVyV2h+Wbe908bt/b6E7goF8pC5y4rzb4+WJl3dw/X3v4PX5+qz67IuS7MksmnEdHmvw+5tWceaQPlMSe4x5b9+6dA4XnjCBz5+mVaLW6IK9Ow409stLZTaZyXJEbm7bE2WYpFB8xqR1JXII7/CRt0KeH9r1l4jjnC7NmPIZCkRKc6eybPYlIeO6Ck+mLl0Ewoy1Piter5fNmx8IjMlq+oTMhnW4Pd00d/TUjY5Mm1OLFHj7CMX5cZWcQbW9lIkl0fMECzr2kN0UvMnKoHdJRZ9HO98dNWdTTSqZ+v61ZwTzKfMyxkR8ryR5GLpa5DGEw26hua2bbfsaeGntfi49ZXLI61v21ANwwwUzmFiaFeEToGyIF9jesODFqcSmOnAodHcFTy4pFh/ZxTmwXTM0m5RMXF2xSbrvi+Kyk+HQfwb0noJsLfS450hL1DyY7ihK4G+urwyp9pwbIwFVRW9UW00KFVHKuyXxw5hTNrVCK0zwa4g9+sJ29h5u4Y31lcyakMctl8wBNC+21+uL2FS6L6ptpaR3HaEkvTwGsw/H7O0OxMajObqL3aHpDN4o9+W7dz9NMeDrw5iZUnZC4PHOfT4KFBctXTUR9an2bfopdkXBO/k6ctJLwl43EvCg9TPXcGLxEiYWL4n4WpWSFuiN6afeZyZP8dDSUUumoyDi+/Bqa5gwdmVIztuk8pPZvXUbnoyJ9K4cl/y4Pd6I8iyjidG9uhhjVIh2Rkgcr2/RXPrzpxSQlzXypa0Wkw+PyYrXE1/BN1dX8ARot5nIGRN6p/23J7eNyDzyMjShzaOW6PlXPSnNS8NsUvhwe3XUMV3OyN9vz8rMuZNjY0yVVpxHjTmNKeLqmHyeZPjwXzByM4MX7zfWa521tuyt5x9v7wbgnifWceMDqwLq5ANh4Yxrmbbg7qgSILHEFyVxu9GnrdMvXuuN4CVrbK+i2KfdCCimgd+379zzz4jb/ZpQu3Y/zUdbfhvRS+VyO9nwyY+pO6AJkCq99v7sHxXjLgx5XqU4cNm05uB1rfuivk/RjakUW2hhS5o9mzkLvsv8KZcPeW6JzEefVnP9fe+wXq3lhvvf4b+GfqCjCWlMDQCbQSIhUpWOy+3FbFLiZoFb9Ji+q31geRqxxmXQujKbFdKL8qKOLbHEtnWEkTR7NmVz7mLhjJv6Hqxjt5k5Y2Goy72nhylauMZuEF/95ufmDGCmvVOWN52zT/1Bv8M/kpHnx9ct5ifXBz0ak8sjC16+/OFB/vDfbRyu0zwcg1VKH04yi08KPI5k6nW52rD5vLh9PibP/jYASgQxB2Oq4kD00Zy5WlFHenf0Yh7QBDWL3fXs3vFY2GvVzbvIUzyBTgaOtLKwMQOlOHsiLbmGQhHFii1F80a1tkWXR1B0YYZU27HX/BfgpbWaSPLvntfSJv79bni7oo4uF/XN8b1uDRVpTA0AY8+9SOXibo8Pszl+CcL+6Tnbh7eJdF+4uoPGxoTZYzCZTKw8O3KifcW4yOHQWGE2mQesCC8qghdCq8XElWcKxhYHT4Q9jSmfz4fX6ws0Df7BNQuZPTG6ASkZfZTkpVGcG0woNpmUqGHetduCXs/OKF7OeDKhOJgvZFbCzamdh94izQR1tiLsVgdenw+TL9yY8hokE3wRXo9Gju5R9usvVZnS6cg/nipbMakTv8hRc+g5IytCzpLHE7pNlJ/a7//fG5lpwdCqxVFEepp2XnPq2lg1zXtxe0JDk2afB5fPFygKOJaoaujgUI0m19PTCXugqpW9RzQpkO8//hG3Pbym3y3bEhGZMzUAjMrmh+uCek5vrq+ko8vFgepWHPb4faVWiwIu6G6Lt2fKDViYVexk4gmah6ZszhR4OVw9fvb5y0Z4dn1j9DA9fOtJmBSF2y6by4N/38SeIy10dhuOg9o27nt6A2OKMsjUK/IcKfJnJYH01L6Tnru63THrghArjDcfkRqMd+kaVEWFiwFwA6YInimPQXwyLb3/CdYZqYUY/dUmb7de3ahVODbmzYeatwOvt/couvF6vbQdejGkO4Glj9Y7/aUkewqbDtlQfD4ml52KFw8tVaB0N7O3eh2WIy9zBMgU1wckDiw+L65jVKvtO49+EHG71+sLiNp+5oTx1LdoKRJ1zZ1kp9t5Y30l8ybnU17QtzZaoiA9UwNgj25Fg9bYdPv+Bjq63Pzt9Z38+z0tZt6zifFIYtHDkM6O+HYc9zd6LhehrvUV80N1ZqbndwYq+RIJY26c3wPpSLHymRO1suUug2dq9ZYqWjpcbNvXwFpdJd1hl1pQEphYplWTrphXxsnzypgXIYcuET1ToPWA9OPVpUA8Xg/tziZMbu1GMlM3FjyAKULul98z1eAzMW3MGWGvR6NnONvbo6hmStkJ5E//BtniRpw+H+YeXq/WrroQQ6o/LWz6i9Vi57h5d7Jg/v+R6SggM6UQp8+HzdtFY5MaGLdzz3OBxxZ8uKWkSQi7DwfNZf+1E+BIXTtfffBd/v3uXh7q0VEg0ZG30APgy+dO45H/BJOnt+7TjCkjfSmkDydWq3YG6WiIrwq6S0/Ot/bQTpp2xiKq9/+P3XVmrD43885eFI/p9Ul5QTqLpxeFhPsgaGQ9//4+Tj2unE/3N/LKR+H6Oil2WXEn0SQT8rNTEWOyA3mUX/pZqKRAV3ditg5ZOP3LgQa/Ww+8yOzxK/lEfZKirkoKAY/PR3qKVtjh8SmYImRX+RsWOy1ZAw611zomUNCxlyoljalTrgx73WHXQn37faaQFi8Abl2KwOnzMWHudykfRkPGZDLRgRmH4qHF+IIhId+m+GgdJhmLRKckz0F9SxfFuQ4OVgevSz/72ycRxz/71u7A47rmLnw+X1QdwURDGlMDwN/6w4/L7WXz3vo4zSYcux5eenttPZNPjt88/J4pW2p4Bc2K689hxQjPZ6CYTApfWTkjbLvRY/W1X70X8b2XnjJJtl+RAJqu3IxxvVeSGkPGiUpXmxbWK+g8FMgqr7HkMl6vJjQrPtIVBbXyHYpzpwc8S/4ec4O5GM6dfDn1rYdYZJASiES3yUo23eysXMWUci1x3p+z1GDJZvIISIm4MWNXvBR0BBOrFT0/qt3ZjFVR+q1zNZro6HLR0t5NdpqduZPyQ4ypaNT1SEJv63RFFDRORGSYbwD0rNJ7c30l6SmJ8yOZddYCADyKBU8ULaSRwO3W7lLtaalxm8NwUJgdfT02i4nZE/M4dcHwaP9IRgff/NwcZk7IDTTA3nmwqY93xB/F3YHH66HDIJOQmTMt8DhVN5ZSa9+ldsfDge1en/8cNPDLjNlkprAPQ0qfHQAptauC/9erJ5+PkDcozReeAF/UVUltywGqGvUefim9N0YfbbR3ubj5V+/R3uWmIDsFR5TrpLHq2Zg7ePZiTXlr0+7EcVb0hTSmBoDFEv51rd2u5cksnRH/fkoZhXkUm5tBUWitit9B6L/ZtmWMLmPKZFL40jnTIr728xuX8c3PzRn1wnSSoTF7Yh7fumRuoDr0lY8O4h2E1tRIUkQnOzb8GI8hXJbpCFbnGrWybLphtbfqI+r8OUTD6KnNLQ264NXKdwBw67pOyghd3rpz5kbcfrRuI82t+wHIyDq2brL8AtYAsybmM2uC5qGdP6WAX351eeC12RPzOE7vWfvDazTZieWzigO/D38v1GRAnvkHQKTwTXObdldy/OzelXhHiqxM7Q6gZufgG4MOlVaXFbunk5TM5KnE6C+TyiNLOZhNMrQn6T9TxwY9Fd9//KNBiXcON3XpwZ6DGSatAbGfTEdR4LFNbwHj52ijiuXoK+S1bgdAcbUyXEwoWkSrnjKVWvsuAJ4R9kzNnnAB1SkVNHoVugqDxp3P58PVqclgFOeLaG8flRjTX06eV0ZJXho/uX4J1543jcy0UC/VTRfO5PE7TyEr3c4jt57ENWdPY8b4/gstJwrSmBog5y4dG7bNbjMjKrI5ZX4ZX794dhxmFSRNV15evbaGv/zkRdzO3vtGxZr2mka6zA6yrCP7f0eK4lwH9167mHyDwv05S8b2qwxeIvFjUhQu0qtDD9e2sy2Bci/9pDuiN2FPsweNwcLsSSGvufY/G/I8xze81cXttmCVpMvtxK1rTA1X78JILJx2NXMWfI+xhfMD2zyeLmzuVtw+H2MKI3u0Ryst7do+uP786Vj1iE5xroMUmwWzycT3r17IfTeGy+LYrGZMJoW0FCs5Gdq1rK/G8omCNKYGyMUnTeSxO07muvODHc9L8xyYFIUvnCFi1kJksNj0JOkus4M2UzpttSObk9FwUAt7ZqaP3uqVsvy0EEHGz66Y2MtoiSQy5y0bx1mLtNyQypr4VuBGwmqJHqY3VueZ+2gV48xbHLM5RWLutC8FHh9t/JROvbmx2TbynnG7NY3OghMB8Hqc2HweOn0KVktyJFHHim6XF5OisHh6UcTXxxZn9NlyrbFVq8r87+r9sZ7esCCNqUGgKEqgkSlAVtrw98jqL7bU0Lm4Ovon4Ols66Byg9r3wD7wt5KxDaKBazJRXjj6QpiSkcefS1LXFF9tuEhYLZEvdtlTw9szZUy+jipT6G+iBhvNXoWxRcMrgWKzpFBl0W5uug79hy49tJZij08XAqtF09PzeruxKT7cyrFzmXW6PJx/63/YfbgZm9U0JFkDf1uvPYeHr+VYLDl29nKMsRqS0SeUZsZxJqFMWBpa0r/j/e39et9Lv3ud/756lIPrhpbw5+rU3LsW6+g2pqaP08IcZy8Z7f3eJcNJbqZmsNQmojFldkTcnpka7n3PSS8Bc6gnKy3/OGYt+F5Aj2o4KSrS+iKmKAq5nZqUQ27muGH/v5Hwe/SKu49iVxTcJPa5sLKmjXufXBdo+zIUHn5+a+CxbYjXgMtOnUyq3UJTe3KkjEhjapAYmx7bE8gLk5qdgcUbPPiO1jrDxnS1tPHmwy/RePBoYFu1V0usrtlXHTZ+IPg9U5YE+k6Gg/ysVB69bQWfPUmG+CSDx58XkoieqTRDOX91St/VaEoPY8pmHTnv7djC+dT7tHOOVVGoUtIpzp48Yv/fiKlHrpbHnDiRi55U1rbx51dV9h1t5aF/buLJV3YMqfn2ZkMVXyxKcjxeL4dr25Mib0oaU4PEaHVnJVhvrbkTgzkMZcXheQ9rn3mXnc1pvPbUurDX1oU39B4Qbl3R2TrKPVOg6Y4lizqvJDGxWc0U5aSy61BTwl0wHLZg5eqcSZfTUXAilrGXRB0/cczpgcdOn4+SnJFNus4kqCZvSSvrZeTwUpwTWrmXX3R8nGbSO5U1bdz92EeB1i71LU5WbTzCP9/ZM6jP69kAvjkGHqVuvZvGw89vC+s2kmhIY2qQlOQFXeBjEix/ZuGlp3DceO0gdEdob9PWrnmPOj2a0dXdGbvGyK5u3TMl+9NJJP1i6tgcOp3ufilEjyQmkwlv2blYx1+OzZrK1PIVlOZOjTo+N72Minl3UzHvbibMvSvQ8mWk8BUHjTmbNWNE/7cRs8lM/vRvUGUtwDHpaiYUJ2bbrA8/jRyFeG3doT7f+9yqPdz2uzXUGDyq/oTxfF3cOBZOhjy9Ov2TnbXc9vDqhNZkk8bUILGYTczQ82byMnuvSogHxRM13St/nzw/bmc3lU7tJNdpdvDHn7zCzjcj90kaDC69catVGlMSSb+oKNIu/FX1HXGeSTjjChdQMohwWV8VfsPBpNJgqX1m+pgR//9GHPYsFs28kfyMxMqpPFzbFgjjVTUM/nh7ae0B6lu6uPORtTS1OXG5vbzxsWaEnbawgotPmsDtn5835Pn+7IalgcedTk9A1zERkb35hsA3PjcHl9s75ES74SC9IBuoZldzGiX/W8uMc5bS2dTKuudWA0Hjz2VK4b2tAztAO5ta+fjfa1h8yYnYerSM0TxhVmwpiRX6lEgSFb9m2Ytr97NoeiHmATYFlgRxFp5CS+s+5uWG99Y81nlu1R5eWnuAi0+awLlLx+E09IW0mE2YFOjW+6o6XR4efWEbR+o7mFqRzZVnCExRhImff28fBdkpvLPxCAClBWnM7NEkfrD0/C00tzsDeYaJhvzVDgGL2RTS/DaRyCovDDx+d7Pmfn3qt6vZVhvdi5bt0/qe99bXz+vx8PRv32drtZ13n3wz7HV/k2NLAvUslEgSGb8xdbS+gzVbq+I8m+RmctnxLJh6ZYgOlkTjpbUHAHhu1V5+9+8tbN2n6XEtmV7EAzcv55Fvr2DFPC3X7O9v72bDrjqqGzpYtfEIv3jqE3w+H16fD/VgY8jnvrvpCM+t0pJtS/PTWDg9tq3VbrggaBjXNWkpKS0d3QlXASuPuFGKyWxmTmnQ49Td2UW3ufdwZKbuZNrwr/eijnn38ddw6lU7u1rS6WoJzfPwG1NW6ZmSSPqFUU3/T//bEceZSEYrPSv0PlZrA4+vXzkj0MGhIFs7Ft/+5HDI+J2VzVQ1dLBpVx0/f2oDAOUFaVQUheYL3/3F42LeDWLRtCJuunAmAL97fitH6tq55aH3ueORtXzpZ2/F9H8NBWlMjWKMd2erHn+jz/ELzpiJ4vOybVd71DH7a0J/lIc+2QnA9lc+4OC67ext0QwtW2ri5ZFJJImI1WLmhovi24ZKMrpRD/avE4bSh6BBdWPQG5Seag3roTdcKS+zJgYFWHdVNpGIaejSmBrFFE0ISvnvbg29g1gwVgvlzR8bDOkVT59AFm10mlLwesJDfV0tbbiU0LuO6v217FuzhVUbu3jpzRp8usaKJTUx49oSSSJy7vLx2G3mkCphiSRW/PLZjYHHKQYNwF9+dXnIuGWzQkN0l5wc7LvocnvxGcyY+VMKuPD48dismhnx4+uGr22Q3WrmuvO0Fm5PvhLaqePD7dW8/vGhuDcLT8yEH0lMGL9sFmd4NvHa6saw1yYsEiy6vBxXp5NPfr02sD3F4qPJY6azsZW0/NAkwn/+5m3cptCS4y1VdrZUhTdptadH7+slkUjCyXRY6eqOnq8okQwGo/6TGJPNHVfMZ+3WKkrz08KSuTMdNv54+8nc9/QGJo/J4qzFFbR2dvPyBwf58NNqPt5RA8CXz53GspnFKIrCI7euGJF1lOanRdz++xe2AVoo8+zFY0dkLpGQnqlRzsQT5mD2ugLPl8+wMqe0m/yJmqKxNdXO+WeWcPkXNKvfbtPcvJ++tRFvDxHBVoMhtWxqdHduvtJManb8dF4kkmQkxWahqztxhAk7nW4O10UP+UuSg/c2HQk8/tK5mpDq0pnFjC2OfI42mRTuuGI+F52odXewW7Rz/csfHKRWTwCfWpEz4oLFPecrxoTe7PuT0+NFvzxTQojTgIuAGsCnquoPe7w+HrgfWAfMBZ5SVfWFGM9VMkg8pmBobvb5y8NeL58XVOw1m7UfyLq9kPP+ZiaeOBe3sxufN9SFmlWUDTvCPVIAFWMSS8RUIkkGUm1mOp0efvKX9XznygXxng6/eGoDB6pb+fkNSynIlp7mZKWuWTMypozJHtR+7JkHtXRGEXlZ8cmJzc2009DiZFJ5FnuPtoS85hpCG5xY0KcxJYRwAI8AM1RVdQohnhNCnKqqqrEu/nbgfVVVHxRCzAP+DkhjKkFI87bRbkrn1EV9Gzkmw91GzYFa1v3sBRoJb+ScN7EUVkU2piKprkskkt5J0WVW/O094s2B6lYAGlq6pDGVxHyqSxlcc0509freOHFOCXuONLNerwCcNSGvj3cMH6V5aTS0OOl0unG5ewhSx9mY6k+YbylwQFVVf8fc1cC5PcZUAwX64wJgfWymJ4kFZ1w4nRXzHUw55bg+xy7//AmkezW5g42HrRENKQB7moOrrp1LiSX8xD/3nMRsnyCRJDLzpxT0PUgSQkNLF/c9vYHKmsRqxZNIHK7VQrUptsGlSDtSrHz1M7N4+Fsn8Z0vLGDx9KK+3zRMTCrXunek2Mx8/bOzSUsJrmn+5Pj+fvrz7RYCrYbnLfo2Iw8A/xZCPAAsAu7t60NzchxYLMOrHF5QcGzl7URbb8FJcwbwIRksWlDAWxt6F0QrG6cdAtNmFXF0Q2isetz0kWnlIPfv6OZYW+/Fpwn+8qqKx+ujw+1j1YZKrjhrGuYoytMjhS3VFnVfHKpupTQ/DbN54Om3sdi/T7yq8umBRv78msqDt6wY8ucNJ/E4no0VbhVl2UOWLigv65+y+XCt9arzZmK3WzltUQXFeWmcvnQ8bo+XmsYOSvPjm17SH2OqBjB+M5n6NiNPAH9UVfVpIUQBsEsIMUFV1YZoH9rYOLx9qAoKMqitbe174Cghluvt6T7tyVXXzg38L58p/Mc5Et+73L+jm2N1vRPLsth5qImb738bAK/bw7lLxw3487xeH8+/v5eFU4uG3Ii9tq6N2tpWXG4PbZ3uQAXYtn0N/PLZjZw8v4wrzxB9fEoosdq/tXp/ufrmroQ+Xkb6eK6sbSPVZuG2h9cAMLYog+amken9ONxrPfO4cvB6Q/6HlZG77kSjP7cTa4GxQgh/DeVy4CUhRK4Qwh8DGgMc1R83At5+frYkAbH04g6++oYFIZIJ45fOIMvXwlJh5oorZ3DpZVNGYooSyajEag71Qj23ai8vf3CA7gHmIW7cXceLaw5wzxPrBjUPr6HgxN/D7d4nP+bW364OlNrvPKQJQfZUyx5OvF4fm/fUs0fPK2tq07JPGlud/Ol/n47YPBIZr9fH3Y99FDCkAC49ZVIv75DEgj49U6qqdgghbgQeEkLUAptVVX1TCPELoAH4GXAL8E0hxDJgPPAdVVXrhnPikuHDbHAFKz4PWbTTpGh2c0/JA3u6g8//38oRnZ9EMlqxRkh9+Mc7e/hYreGuK4+L2my2J36Dx+MNFzJ0e7xY+gjLtXcF5VScuiFXqefetHW6SLVbAmKNI8WeI838+M/BdNzf3nJiiIbSe5uPcvXZU1EUhS1763nw75v46mdmUdvUSV1zJ18YoPcsWfEbmEbKCiJrNEliR78y0lRVfR14vce22w2P3wfej+3UJPHCYgtKKcwd42P6qUv525PbyPAmrhtdIhkNWMyRjaV9R1v56+s7uerMvg2CD7dX89hL4V4at8fL/z44wCsfHuQrK2cwZ1J+1M/oNIiHOl0eDhkSvD1eH26PN9DcFrSwUnnB8OasvLvxSMjzrz74btiYDqcbi9nEg3/fBMAfX9oe8Kz1Zkx9sL2Kdzce4Rufm4N9mFqijBQNraHG1BkLx5DhkL1ShxsZipOEYbZaDI9NZJYU8JmVFay8ZkkcZyWRjH6sluin5Hc29C+c5leE9uMvGb/+vnd4/r19dHV7eG7Vnl4/o9tgTD23ai/3PhkMFzq7PWEX7Edf2N6vufXGc6v2cO3P3w7xigE88+Yu/vzKjoBe0pIe1WRzJ+UH8sKe+N+OEG+VsdqrNx59YTs7Djbx+/9s63twgtPcFmxwf8XpU7js1MlxnM2xgzSmJGFY7UHPlEU3rIqnTyCzRJZuSyTDSc/w2+yJefzk+iWBx4OhvcvNQ//cHLLN5em9j5nTHZqj5TaMb+3sZr8umOhXoc5KH7rn46W1B/D6fOw7EirG+Nq6Q7yz8Qgt7d2k2i0U5oRqXo0rzuCkuaWAlivmNhTQNLQEjT5vhJCnn2x9/ht319HU5mR/VUsgvNnR5Y5737feOFDVypd+9hb3P7MBIJBf98WzBKcuKI/n1I4pZG8+SRhmgzHlbO/uZaREIoklxpyoX339eDIdtkB1racfooSR2tHUNnWycXdoCmt1QwfvbT7CCbNLI35Otyv6/3rg2U2Bx536/xtqZxGjsdLhjNxS53BdO4U5qYwvCdW+G1+ayczxuby5vpKj9R20d0V+v8frxdSj+njnoSbGFmXQ1hn0ht36m9WBdr7Tx+Wwfb8mevnbW04k1Z44l8yubjf/eGdPoABg+/5GKmva6NYN4aHKIEgGhvRMScKwpgbvMlN7NMKUSCTDh9+TMr4kg0w9z8ViVlCAqoYOvH14SP7w3/BwW2tH5BuiP/1vR9TPcfaz4fJ5umyDqxfjqz+8ub4y8HivwTPV05uU6bAxZ1I+99+0jAyHFbvVzIxxuSiKwtF6rfT/h1EqGN09vHGbdtfxs799wsP/2RrymnGU35ACLUerM4qhFw+een1XWCXl3Y9/xJOvqADYhlnHURKKNKYkYWSVFzEtrxOR08GsleG9/CQSyfBw5qIxTK3I5uaLZge2KYpCbmYK9S1OXvvoUK/v37ArvIi6xeBdvvOK+SHkuzg5AAAXgElEQVSvvbPxMOrBxpBtTW1OVm89Sk8iKbTPmZSPxWyiuw9tur546o1dgcd7jmiyBz6fjx/86aOQcf4QX25mCvdeu5gHbl4e8OZFapdiDJv2rGz8tR763LxHa4uVl9n3jWOkxP548f6W8H1kxG6Tl/eRRH7bkjBMJhMrrjubU75yDiaTPEQkkpFi+rhcbv/8/IAwpp+bPjMTgIM1vVfUFuU6wrY1GRKSs9NtLJkRTOD+8ysqP39qQ8j4597ZE+jDZgypXXzShMDjiWWZ3HjhTKwWE3arKRBaigV7Drewv6oFt8cXkGMArcHu504O6iVlOmwhYbeeIUuL2cSjt61g0TStW8PXf/0eDS1dbNlbj8cbbvxdfc60iPOZPTEPm14YsHVfsB/pC+/v46k3dg5ihUPHGM6dPi6HWy+bG5aYP7mfauWS2CCvlBKJRJLgFOVoRlKXs3ejJdWmhXauOXtqIDn8P+/vC7yelWbn+vNncOKcUMPD4/Xy/Ht7qW7o4KMdwQYXK5ePA8BuNVOSF9QquuvK41g4VTNSrBbTkMN8ubpXyN9o/Wd//QSXwUCbNzmf686fQVZa74nu5y0bG3j8wy8t1OZn8E59+3drePDvm3hpzQF6pnlNH5vD7ZfPY1J5Fg994wR+fN1iLjt1MtefP4Of3bAUIBB6dbm9PP/+Pt74uDIuob8OQ17Yty+bx4xxuVxzzjQmlmnG711XLcBuk2G+kSRxsukkEolEEpEU/cLY14W7q9tDhsPKCXNKsZhNqLpKOUB5QVrgArvTsB3gg23VvLB6P6s2HWF8cQY7K5sD//eBm5cHPDO/uGEpPbO23B4fTW2dHK1vDzG4BoLPB/lZKXxl5Qx+/Jf1lBWkhbS1uujECb28O8iFJ0ygONfB5PJsCrK1kGAkb93zBgMT4MozBYqiMHVsDt8ZuwCA9FRrYD0OLORk2Klr7sLp8nCkLugxO1DVytSxOQNb8BDpiJBkb7WYuOvKvpvZS4YH6ZmSSCSSBMdkUrDbzHT1kRje2e0mVW8HNWN8LkDAgFo0LRgGWjE31DO1W2/P0tzWjceQ5O7x+shOt+NI0Sp887NTA0aKH38l3F1/+JDGHvpTPp+PP7+qsmFXba/z7nZ5sFvNTCzLwmJW2He0la37tNaui6cXUdZPQVCTorBsZknIHPOyUqKOP3leGfd8eVHY9xEJ/9r+tWpviMr4vqMt0d4ybPgrHo2eOEl8kcaURCKRJAEpNnNAisDj9VKvi1ga6er2BLxYjhQLihKszLMZBEFPWziGmbqxBbDKoC6+53DQOOiPEWPUffr3e3tDXqtq6OCdDYf5f89tQT3YyMHq1oCIqJFutzdQyl+qe4P8yd41jUNr0Dt7Yh45GXauOH0KP70+VHi4ND+N8oJ0lAFoO7z+8SFeWL0/8Ly2qXNI8xsIbo+Xn/11PX99TavYcxhkbCTxRRpTEolEkgSk2ix06R6JOx/5gNseXsPB6mBCutfnw9ntIUVPyraYTRQaPDTGYjaTovC1i2dx4pySiP/r9OPG8OhtK/rMUQL4P0OFYHVDqOFzwDC/nz+1gR/8aR2/+scmDhxtCcge1DR24HJ7seu9/j5/emiz9J7PB0paipVffnU5py4opyjXwe++dWLgtXHFGb28M5Rrzg5WCx6oCq6rL29hLDlS187OyuZAYn56qjSmEgWZMyWRSCRJQKrdTEOL5o2q1/8+8+YuXG4vt142F390LsWQeJyWaoVGzXNiFKYEranymYsqeHdTeIn99HE5fTZD9pNpMLiMhkVHlztim5nt+xu5+f63AThv2TheXLMfCIpMGj/vhNklTCzN6tc8+kuKzcKdV8wnN9NOflZq32/QWT6rhHc2HmbfUc2QSrWb6XR6RsyYem3dIZ55c1fItlmDVMWXxB7pmZJIJJIkIMVmodvtpdoQ9tpxsIk9R1o4XNse8FIZjSlj8OqMRWPCPjMrLSjBYPRiTRnT/7J6RVE4ZX4ZAIdq2gLCoq5+KLb7DSkIVsoZ5+HoZ2+9gTJlTPaADCnQ8tZ6Nku2WUzDEubz+XzsPdISogzf05AC+uU5lIwM0piSSCSSJMCue27+7/cfhL3W5fIERBxnTQh6K85cVAHAjRfODBgrRlLtQcNrxbwylswoYvnM4gG3TTEaGY26inukXnhTK6IbaZPHaB4ok0nh+Nla+DE7PbE6MJTmp1GWr+V03fSZWYwryeRIfXugH16s+M/7+/jRnz9mzdaqqGMmlGZGfU0y8sgwn0QikSQB+b1UpX20vZrVW7QL73GiMLD9uKmFPPSNE6Lm1iiK1qrGB6SlWrj+/BmDnt+44gz2V7Vy28Nr+MWNSwnTUECTILjrDx9GfP+8yUGF9ctPncz0sTkRVdfjid1q5t5rFweeb9hZy85DTRypb2dccf+MG7fHy/b9jcyckBvQ1TLS0NIVSHDfVdnM8lkl+Hw+bBYTKXYLD968nA+3V1OaPzgZCsnwID1TEolEkgScvSR6Gfx7m4N5TzZr6Gm9ryTl737xOC49ZVKIETYYJpUHc5ve+LgyILEwtSKbH1yzkG9dOidEh+qWS+YEHt9347KQeabaLSyZUZzwzXr91Y6H9YTwI3XtfLIzugxETWMHv/nXFn71j01c+/O3Q8J44G+hE+wtaDFrxlZbp4tut5eJpZkoisKSGcVUFPU/eV4y/EjPlEQikSQBdmv/7n0HUuYPWssYY9uYwWI3GD6vrTsUUEgvznVEvPA77BZ+ev0SfPSuBZXIlBdoxmFlbRsA3/2j5nX71iVzmDkhNDnc6/NxZ48Q7a7K5pD8tE176kMKBfzaVu9u0qQr8jKT83s6FpCeKYlEIkkCenppzKZwo2lyeWwr3wZCz6T1J17eAYC5R3/P2y+fx+dOncz40kyKch0UR1AoTxbK8oOeKWO/vw+2V4eN/dU/NoVt69ms2NiUGoLG1HOrNP2u3kK9kvgijSmJRCJJAswmJSTHZuXx4/mF3jMOYGxxBjd9ZlY8pgZoie/G+VTrkgymHkbf1LE5XHXO9Ij5QsmGI0VrM3O0vp1dh5oD23t64pwuD1v3NoS9//3NR3non5sBrVWQ3wC98UKtsfX+qlbufuyjwPgT5vSt1C6JD9KYkkgkkiRAUZSA7ADA7Al55BrCPpPKsuJeKp9vkDXwK503tjmjDR8V5GWlUN/i5BdPbwhse+bNXbR2BL1MG9Vg82ib1cSdBqHTjbvr6HS6+dvrOwPbPB4v0/R+f/4QYlGuY8BVlpKRQxpTEolEkoSMLc4I8fpkpyeG5tDtl88Leb7jQGOcZjIy1DREbnfj7y3497d386M/Bb1L9924jCljsjlZ1+YC+OqD74bIIHi8Pr54lsBhMJ4WTxtagYBkeJHGlEQikSQZVkOfPf9jqyUxKt+mjs3hj3ecHHh+1Zmil9HJz5mLKyJu93vmXvnwYGDb//vmCWToel/Hz4rcyge05s6FOQ7OXapVcJYXpHHB8eNjNWXJMCCNKYlEIkkyKoqCDYjv+fIils4oZtnM4jjOKBSTonDrpXOZNzmf2aO85cmZCys4aW4ppflp/NyQM9bp9HC0vj1kbFpKUP5hfEkm158/PezzbrpwZqCVz1mLK3j41pO458uLB1ylKRlZZABWIpFIkoT0VCttna6QfnVFOQ6ui3BRjjczxucyY3xuvKcx7JhMCl88K9gE+duXzeX+ZzbS5XTzXYNA6W++eULYe5fMKMaHVvnocntZNK2QBSIoVKooSojkhCRxkcaURCKRJAm3XT6PVz86KEM+CYw/Sfz59/eFbHekRBZPXTqjmPlTCth5qImZ43OlBypJkcaURCKRJAljCtO59rzE80JJgvhDdAPBbjWH9FSUJB8yZ0oikUgkkhhRlJMatm28bEo86pGeKYlEIpFIYoTNaubBrx3PX19TOWfJWLLSbIwpy6a9tSveU5MMI9KYkkgkEokkhmSl2fiqQY3ekWKVxtQoR4b5JBKJRCKRSIaANKYkEolEIpFIhoA0piQSiUQikUiGQL9ypoQQpwEXATWAT1XVH/Z4/TFgomHTbGC+qqr7YzRPiUQikUgkkoSkT8+UEMIBPALcoqrqD4DZQohTewx7TVXVFaqqrgBWAu9IQ0oikUgkEsmxQH/CfEuBA6qqOvXnq4FzjQNUVX3W8PTLwOOxmZ5EIpFIJBJJYtOfMF8h0Gp43qJvC0MIYQLOBH7V14fm5DiwDHOX84KCjGH9/ERDrnd0I9c7upHrHd0cS+s9ltbqpz/GVA1g/GYy9W2RuAB4UVVVX18f2tjY0Y9/PXgKCjKorW3te+AoQa53dCPXO7qR6x3dHEvrHc1r7c1I7E+Yby0wVghh158vB14SQuQKIXpq5F8NPDGIOUokEolEIpEkJX0aU6qqdgA3Ag8JIX4EbFZV9U3gTuAm/zghxFxgp6qqbcM1WYlEIpFIJJJEo1/SCKqqvg683mPb7T2ebwQ2xm5qEolEIpFIJImP4vP1md4kkUgkEolEIomCVECXSCQSiUQiGQLSmJJIJBKJRCIZAtKYkkgkEolEIhkC0piSSCQSiUQiGQLSmJJIJBKJRCIZAtKYkkgkEolEIhkC0piSSCQSiUQiGQLSmJJIJBKJJEYIIeR19RgkqXe6EKIw3nOQDB9CiIJ4z2EkEUKMjfccRhIhRFm85zBSCCGmCSHS4z2PkUIIMVUIsfxYMSyEELOEEL8VQqSpquqN93yGGyFERbznkGgkpQK6flK6EDge2AOsVlV1jRBCUVU1+RbUB0KIVOA+4BVVVV8UQphVVfXEe17Dhb7ei4BzgU+BZ1VV3RnfWQ0fQog0tLVeCewEXlVV9bX4zmp4EUJchdbf8zuqqj4vhDCNxouQECIb+A5wEvBlVVW3xnlKw4oQwgGcA5wJ/Bd4W1XV1vjOavjQ9+8dwBKgBvihqqrb4zur4UO/9q4EPgscBP432s9V/SVZ7xouAbzADwAfcJsQQqiq6hNCKHGd2fAwCxgD/BJAVVXPKF0nQogFwG+A/cBdwHJgbjznNJwIIWYAjwK1wPVAHlCmvzbq9rHBU2EG1gOfFUKkq6rqHW3rFULMAf6HdkOwDNh9DHhqTgDqgK8A2wG3EMICo+94FkKcDqjAEeBiYCuaQTUqEUKkALcDTuCraL/hvLhOKoFIuh+2fjK6DNiqqmoV8DSad+o2gNHkmTKcfLKBLwP1Qoi79G1Jt+/6SQOwD1ijquo+4D00Y3K0sg+oVVX1bVVVjwKNgEc3MEbNsQza8WzwPhUC7wKtwOeFEHmjbb1oXsZ3gA+Ba9FuDn4nhLgknpMaDoQQin6+ugDtBvcy4CrgF2iem1F1btZZC9yvqur/U1W1AVCAs+M8p+HmSmC3fq5qAiYIIcbHeU4JQcJfkIUQ44UQ1wshMgH0k/F64G59yBHgeSBdCCHiNM2YYVyv4eSzRlXVOuCHwNeFEPm6dyrh919fGNabpW86CvzGsPZdaBekUZFDFeF47kDzsCKEOAHIBaYBTwohTo7bRGNEz+NZCGEWQliBw8CTwF7gBuBb+vik9V5E2LedwCrg62ih2++heWsuEkIkvbe1577Vf7NbgZ8DH6uqejeaZ+5UIcSKeM41FkTYv23Ar/XXTGjnqp3686Q9jv1EWG8XmvPiXiHEXwEbmnfqCSHEWXGcakKQ0BdjIYQNza14Edodj5+/AhVCiLP0H/BhNI9G08jPMnZEW6/+o0VV1VfRDIsf6y85RniKMSXSelVV7VJV1bgfpwGrhRDTgMtHfpaxo5f961/vRlVVvwh8H+2knNQu9Cj716OqqgstfPt5oADYBpiFEFOS1XvRy759FXhIVdX9+qbngXagY6TnGEt6OTe/ivabPU5//h7wEeAa0QnGmF72b7f+1wvkA6frz5PyOPbTy3q/g+bI2KOq6h3AvcCbQEY85plIJLQxhWb5bgbeAJYKISbo23cBTwAPCiHsQDFgQXMvJzM91zsewkpt/w+4TgjxJ6Bo5KcYU4zrXdJzvXqyYxbaj/n3gDPJ7/ii7V//mtL0vwuBqcCOEZ9hbIm23jygEqhCC31tBz4HnJDE+zfiWgFUVd0uhJikPy1Du/C0jfwUY0q0c/N+4B6CkYOZQAVaBCGZifrbNRyzLwBtoyFiQC/HM5qxfLX+eCnaPk72c9WQSahqPiHEVDRL+A1gu6qqbUIIMzAHuFHf9qBh/A8Mb/+9HsdNGgayXv0Ha0erkjkbeFBVVTU+Mx8cg9i/FwB/Bh4DHlNVdVscpj1oBrh/U9HCXbPRvI9vqap6KC4THyQDXG+OqqqNenj3POBDVVV3x2vuA2UQv917gAnA22hVuZXxmfngGMRv9xdAN5oH7klVVQ/HYdqDZqDr1d/zGcChqurfRnzCQ2SAx3Mu8DDQBWxCq7ZOqv07HMTdmNKTUn1CiBuBTLSE3JOANFVVrzaM+zqaBfygqqqfGrZbVFV1j/C0B81Q1qtXxWTqyY5JwRDXuxwYo6rqMyM/88ExxPVOBgpUVV0z8jMfHINY76+MpeMiieRMhrhvxwClqqp+OPIzHxxDXK8JsOl5NknBUK9FycZQfrtCk8Ao0ouEJMQ5zKffsaXqT7PR7tj+juYivlgIcYZh+D/Q7nTuF0J8VY/pkmyGFANf7y/961VV1Z1shhRDW+/qZDOkGPx67aqq7ko2Q4qBr/e+Hr/fpDGkGNq+PZRshhRD++16k82QYgjrHdnZDp0hXnvtqqp2SEMqlLgZU0KIpcADaDtoBppFPBZAVdV6tCTc+w1vMaPlCG0E/uxP/EsWhrDeDcj1JjwxWK9zZGc8NI6l36/ct/K3i1xv0h7PI8WIh/mEllT8A7Qk8r8Df0TbSU3AzaqqTtXH2YF/A3eoqrpFCJEPpCRhroFcr1yvXG8SrvdYWivI9SLXO6rWO9LEwzPllzJ4Q1XVRjTtpEWqqv4GTS33m/q4PLQKge0AqqrWJenOlOuV6wW53mRc77G0VpDrlevVGC3rHVEscfifHcA/1dBKpbX63+8BZwkh7gNagPVq8vegk+uV65XrTU6OpbWCXC/I9Y6m9Y4oI25M6Qmnxp05Fq13FWjaFj9BE/Lbp8dvkxq5Xrle5HqTkmNprSDXi1zvqFrvSBMPz1RPSoAGIcTTaA0UX1NV9UCc5zScyPXK9Y4mjqX1HktrBbleuV5Jv4mrzpQQohhYA2wB/q4modjZQJDrlesdTRxL6z2W1gpyvXK9koESb8+UF03d+v5jpNxSrnd0I9c7ejmW1gpyvaOdY229w07cFdAlEolEIpFIkpnR0JBRIpFIJBKJJG5IY0oikUgkEolkCEhjSiKRSCQSiWQISGNKIpFIJBKJZAhIY0oikUgkEolkCMRbGkEikUiiIoRYDvwImI7WfDUHSAf+pKrqP/t479XAClVVrx7maUokkmMc6ZmSSCQJi6qqq4En0Vpc3KCq6qXAtcD3hBC3xHd2EolEoiE9UxKJJKlQVfWoEOJ24DkhxL+A3wLb0Lrdf6yq6iNCiMnAF4AyIcRvgP+qqvqqEOLrwBSgE8gGblFVtS0+K5FIJKMFaUxJJJJkZB2QBhQCv1RV9W0AIcRmIcQLqqruEkL8FS3Md7P+2qnASlVVT9Of/wi4Hbg7LiuQSCSjBmlMSSSSZMYErBBCXA50ALnAROBIhLFnA/lCiEf05/nA0RGZpUQiGdVIY0oikSQjC4F24BRgnqqqKwGEEHMBc5T3KMBaVVVv1McqgGME5iqRSEY5MgFdIpEkFXrH+18A30fLk2rQt5uAcsPQLsAshFCEEF8EXgZOFkL4byIvBL45YhOXSCSjFtnoWCKRJCxCiKXAvcBM4J9o0ghZwF9UVX1WCFEBPAPsAuqBC4DNwJeBVOA5YDfwlqqqjwshvgksAw4BKcCtqqp2jeyqJBLJaEMaUxKJRCKRSCRDQIb5JBKJRCKRSIaANKYkEolEIpFIhoA0piQSiUQikUiGgDSmJBKJRCKRSIaANKYkEolEIpFIhoA0piQSiUQikUiGgDSmJBKJRCKRSIbA/wc3T69x1sSXQwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "data[sel].cumsum().apply(np.exp).plot(figsize=(10, 6));\n",
    "# plt.savefig('../../images/ch15/strat_ml_07.png')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 69,
   "metadata": {},
   "outputs": [],
   "source": [
    "data = pd.DataFrame(raw[symbol])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 70,
   "metadata": {},
   "outputs": [],
   "source": [
    "data['returns'] = np.log(data / data.shift(1))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 71,
   "metadata": {},
   "outputs": [],
   "source": [
    "data['direction'] = np.sign(data['returns'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 72,
   "metadata": {},
   "outputs": [],
   "source": [
    "lags = 5  \n",
    "create_lags(data)\n",
    "data.dropna(inplace=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 73,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "['lag_1_bin', 'lag_2_bin', 'lag_3_bin', 'lag_4_bin', 'lag_5_bin']"
      ]
     },
     "execution_count": 73,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "create_bins(data)  \n",
    "cols_bin"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 74,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>lag_1_bin</th>\n",
       "      <th>lag_2_bin</th>\n",
       "      <th>lag_3_bin</th>\n",
       "      <th>lag_4_bin</th>\n",
       "      <th>lag_5_bin</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Date</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>2010-01-12</th>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2010-01-13</th>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2010-01-14</th>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2010-01-15</th>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2010-01-19</th>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "            lag_1_bin  lag_2_bin  lag_3_bin  lag_4_bin  lag_5_bin\n",
       "Date                                                             \n",
       "2010-01-12          1          1          0          1          0\n",
       "2010-01-13          0          1          1          0          1\n",
       "2010-01-14          1          0          1          1          0\n",
       "2010-01-15          0          1          0          1          1\n",
       "2010-01-19          0          0          1          0          1"
      ]
     },
     "execution_count": 74,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data[cols_bin].head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 75,
   "metadata": {},
   "outputs": [],
   "source": [
    "data.dropna(inplace=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 76,
   "metadata": {},
   "outputs": [],
   "source": [
    "fit_models(data)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 77,
   "metadata": {},
   "outputs": [],
   "source": [
    "derive_positions(data)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 78,
   "metadata": {},
   "outputs": [],
   "source": [
    "evaluate_strats(data)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 79,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "returns           0.805002\n",
       "strat_log_reg     0.971623\n",
       "strat_gauss_nb    0.986420\n",
       "strat_svm         2.649423\n",
       "dtype: float64"
      ]
     },
     "execution_count": 79,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data[sel].sum().apply(np.exp)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 80,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "data[sel].cumsum().apply(np.exp).plot(figsize=(10, 6));\n",
    "# plt.savefig('../../images/ch15/strat_ml_08.png');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 81,
   "metadata": {},
   "outputs": [],
   "source": [
    "mu = data['returns'].mean()  \n",
    "v = data['returns'].std()  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 82,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[-0.006033537040418665, -0.00010174015279231306, 0.005830056734834039]"
      ]
     },
     "execution_count": 82,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "bins = [mu - v, mu, mu + v]  \n",
    "bins  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 83,
   "metadata": {},
   "outputs": [],
   "source": [
    "create_bins(data, bins)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 84,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>lag_1_bin</th>\n",
       "      <th>lag_2_bin</th>\n",
       "      <th>lag_3_bin</th>\n",
       "      <th>lag_4_bin</th>\n",
       "      <th>lag_5_bin</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Date</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>2010-01-12</th>\n",
       "      <td>3</td>\n",
       "      <td>3</td>\n",
       "      <td>0</td>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2010-01-13</th>\n",
       "      <td>1</td>\n",
       "      <td>3</td>\n",
       "      <td>3</td>\n",
       "      <td>0</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2010-01-14</th>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "      <td>3</td>\n",
       "      <td>3</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2010-01-15</th>\n",
       "      <td>1</td>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "      <td>3</td>\n",
       "      <td>3</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2010-01-19</th>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "      <td>3</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "            lag_1_bin  lag_2_bin  lag_3_bin  lag_4_bin  lag_5_bin\n",
       "Date                                                             \n",
       "2010-01-12          3          3          0          2          1\n",
       "2010-01-13          1          3          3          0          2\n",
       "2010-01-14          2          1          3          3          0\n",
       "2010-01-15          1          2          1          3          3\n",
       "2010-01-19          0          1          2          1          3"
      ]
     },
     "execution_count": 84,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data[cols_bin].head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 85,
   "metadata": {},
   "outputs": [],
   "source": [
    "fit_models(data)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 86,
   "metadata": {},
   "outputs": [],
   "source": [
    "derive_positions(data)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 87,
   "metadata": {},
   "outputs": [],
   "source": [
    "evaluate_strats(data)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 88,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "returns           0.805002\n",
       "strat_log_reg     1.431120\n",
       "strat_gauss_nb    1.815304\n",
       "strat_svm         7.165290\n",
       "dtype: float64"
      ]
     },
     "execution_count": 88,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data[sel].sum().apply(np.exp)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 89,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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qa9vWKurKWKTeFhUTypIH5rPyw71eq2kPRkqSRERE/ER5Sb0nQQLfJEkA1uBAzrlsvE/u3ZsGdz+YiIiIeHx737SEpIhOakpXKEkSERHxE44Wl+f14gtOvIafnJwet4mIiPiBluZW9u1u22/trIvHkj1u2EnOkJMZ0j1Jy5a97JNzB4Jt275myZLr2bJl08kri4jIgNbS3Mo/Hl3tmdU2PDXKxxH5B5/0JJW9/ip1mzb26NxDFjMuV/t1FyJmzCThqmu7da1ly17h6qu/26M4TuXcgWDy5CmMHKkNb0VE/MG6lblex13Zq01Obsg8bsvPP8gLLzxLZmYWeXkHGDFiFPX1dTzzzFIyMjJpaWlh6dK/cumlV1BWVsr+/Xv55S9/y+OP/4kJEyaRm7ufa6+9gexsG++++5bn3PHjJzJnzrx293M4HPzud78mJiaG8PAIli//lNmz53DvvQ/x+9//hvj4BJqamoiLi+e6625g584d/PGP/8199z1EVtYI/vCH/2LUqNH85CcP88UXK9i4cQPDhw8nJ2cPv/717zos68gTTzzGZ599zBVXXE1Ozh5CQkL42c9+4Xl/3brV7Nq1g127dnDZZVcxe/bcPvsMRESk9zXUt7D762NbkEyblz7gN44dLHySJCVcdW23e3085/Zw3aB169YQFBTENddcT1lZKUFBVt5++w1uu+1OT50PP3yfsWPHsWTJ98jJ2U1gYCC33HIHNtsY7PYcnn/+H/zmN7/nkksu58UXn/U699vee+8dQkNDuffeh3C73bz33jtceWVbm+fNW8DChacDcMst3+WSSy5jwoSJZGePBiAmJpaFC0/nyJEiAD766ANOO20x5513ITt2bOu0rCN3330fb7zxKpdccgXXXx/ODTdcTU1NNVFRbbs5p6VlcNFFl1JRUc6tt17Pu+9+pB8uEZFBZPl7e4C2hRtv+sE8rMFDpv+jzw2ZMUkXXXQZMTGx3H337TzzzFICAjr+JsrIyAJgzJhxBAQEsHz5xzz//DMsX/4J1dVVXb5fXl6uZ4Vss9nM8OHHlnqvqChn6dK/8uKLz9HQ0EBNTc0Jr3XPPQ+yffvX3HbbjaxfvxbDMDos60xMTCzh4eEAREdH09jY6HkvObltufq4uHiampq61UYREfGt6spGCg9VA7DoXJsSpF42ZJKk3bt3csMNt/DUU88TGxvHRx+9j9lsxjAM9u7N8dQ7vhflpZeeIyQklJtvvo0LL7zE63omU9uX7vhzj5eVlUVBQT7Qtmng0V6hffv28s9/vsidd/6AG2+8hbi4OM85oaGhNDY2AFBSUuwpz8vL5cc//jlLlz7Lpk0b2LvX3mFZZ07UM1RUVAhAeXk5wcHBREfHdFpXREQGllf+vsHzevR4zWbrbUMm5aytreEvf/lfkpNTqK6u4rLLrqS4+AiPP/4obrebmppqSkqKefPNZVx//c3ExMSwaNGZLF36OA6HA6fTSUlJMZs2bWDGjFnYbGN48snHsVqtjB7dfi2KCy+8lP/+71/x6KN/JCEhgaioKEwmE+np6WRmZvK73/2a9PRMyspK+eCDf3H77d/nnHPO57nnnuHIkSNUVFSQn3+Q/fv3e8YMBQcHk5U1khEjRrJy5fJ2ZR157713qK+vZ+XK5URGRlFSUswHH/yLmTPncODAPoKCgigtLSEnZzc/+9kv9KhNRETkG6YTPabpqbKyut6/6DcGy15mjY2NHDlSxMiRowC48car+cc//klgYGC3rjNY2ttb1F7/pvb6N7W3f7U6nDz9v18BMHNhJjPmZ/bp/Xzd3r6UkBDRYQ/BkOlJ6m8tLS088cRjTJs2ncrKCm6++bZuJ0giIiKdaahv24IkMjp40G8kO1ApSTpFjY2NrFy53KssJCSExYvP4pFHHuu3OCoqylm/fq1XWWxsXIfLE4iIyOB3dCPb7HHDMJuHzBDjfqUk6RSFhoZy/vkX+ToM4uLiB0QcIiLSPzatPghA/LBw3wbix5QkiYiIDBIup5ut6/OJiAzmSEENw1IiyRod7+uw/JaSJBERkUFif04pG7886DmOiQvVrOQ+NKQfYg7lDW5FRGTwWfe59x5t4ZHBPopkaBjiSdIrPjlXRESkuxrrW2hscHiVhWsj2z7lk8dta1YcIDentEfnmi1m3C53u/IRYxKZd0bHCypC/29wu33713zwwb9IT8/Abs/hwQd/xK9+9XNaW1v5+c9/RVlZCY8++kduumkJ7777FhaLmYyMLHbt2s7FF19Obu4B9u7N4ZJLLuKMM87v0ddKRET8R96+CgBCw4No/Gb6f0SUkqS+NGTGJPX3Breff76c4cOTue66G8nNPUBwcDAPPfRjfv7zH5GUlITJBIsWLWbRosVERETw9NNPcs89D7Bvn52f/vRhli17l/r6eh544PtKkkREhLLitoUc55w+ghXvt22JpcdtfcsnSdK8M0aesNfnRHq64udFF13GSy89x9133056egb33vtQh/WO3+C2srKC5cs/Zt261TQ0NHRr89ebblrCCy/8gzvuuJkJEyZy9933kZaWTnx8Ilu2bGLr1s1cdtmVnvopKakAhIdHkJQ0HLPZTGRkJA0NDd1uq4iI+J+K0nrMZhMjRieQm11GdGwoUTEhvg7Lrw2ZMUn9vcHtrl07uP/+H/L00y9QVVXFunVrALjiiqt59dWXaGioJzY2rsNzRUREvq22uonImBACgyycd8VE5i4eqZltfWzIPG7r7w1ui4uLeOyxR4iJicVqtTJ16nQA5syZx5///EduueV2ABwOBx9//G8OHNiH3Z7DV199QUlJMVu2bKK4+Ah1dXWsWPEZZ5xxVr9+vUREZGBpdbiIjLH4OowhpUsb3NpsNhtwHdAELAJ+abfbN3RWXxvc9h6117+pvf5N7fVv/dlel8vN3/9nFSkZ0Vx83ZR+uee3+fPn29kGtyd93Gaz2SzA/wK/stvtvwduA/J6NzwREREBMAyD8pI6lr+3h7qaZgDy9pYDEBQ0ZB4ADQhd+WrPBEzAvTabLRSoAJ7q06gGkRNtcCsiItJdO7cU8tWn+wHYu6uE1MwYDh9smzhkm5jky9CGnJM+brPZbNcATwKZdru9xmazvQR8Zrfbn+vsHKfTZQQE6LmpiIhIdz37+GoK8io7fO///fFCDdbuGx1+UbvSk1QL5Njt9ppvjr8CTgee6+yEqqrGbsbWdf78TLQjaq9/U3v9m9rr3/qivY4WJ+WlHV/z5nvnUV5e36v36w5//nwTEiI6LO/KEgDrgbhvxiYBZAB7eykuERGRIevgvnJqq5s8xwV5VTQ1tDJxegpLHpjPhGkpRMWGcMl3pxAaFuTDSIemk/Yk2e32SpvN9mPgUZvNVgYkAL/q88hERET8WOGhKj58cyeJwyO44ua2ZWJ2bS0EIDE5EmtwIAu/k+3LEIe8Lg2Tt9vtbwNv93EsIiIiQ0Z5Sdujs9IjdRiGgdttUHioGoDgkEBfhibf0FxCERGRftbqcLF/z7GN3p/8/Rde7weH6NfzQKBPQUREpJ+4nG42rz3E5tWHTlgvIanjgcTSv4bM3m0iIiK+tuvropMmSFcvmaFp/gOEkiQREZF+UlN5bImckNBALr3+2BYjSalR3P7QQuISw30RmnRAj9tERET6SVNjKwA3/WAuYRFWAO76yek+jEhORD1JIiIi/aSuphmz2URImGavDQZKkkRERPpQS7OTV5/egH1HMdWVTUTFhGA269fvYKBPSUREpA9t21BAVXkjKz7IwdHiJG6YxhwNFkqSRERETkFVeQONDY5O39+3u8TreMTo+L4OSXqJkiQREZEecjndvPr0Rl5eur7TOq0Ol+e1NTiAEbaE/ghNeoFmt4mIiPRQbU0z0JYIPfXIKpytbm5/aCGBQW17wrc0t3pmtCUmR3DmhWO1BtIgop4kERGRHqqtbvK8dra6AVj/RS6GYVBd2chn/9oDwKhxiVxx03SiY0N9Eqf0jHqSREREeujAcfuvHVVeUs+/39hB/oFKT9nMBZn9GJX0FiVJIiIiPeBocbJ/TylRMSE0NTpwtLSNPTpyuKZdXfUgDU5KkkRERHogP68Sl8sga3Q8U2anYRiw+rP97O+gd0kGJyVJIiIiPbBrayEAqZkxhIQGATBldponSZo8KxVnq5sRNk35H6yUJImIiHRTY4OD7VsKiYkPJTUzxlOekBTBkgcWsHtbEZOmp2IJ0PyowUxJkoiISDfV1TRjuA0yRsa1m9JvDQ5g6ux0H0UmvUkproiISDcdXWE7JFQb1fozJUkiIiLd1NR4NEkK8nEk0peUJImIiHRTU0PbKtohYepJ8mdKkkRERLpJPUlDg5IkERGRbqqrbtuzLTRMSZI/U5IkIiLSDS6Xm8L8amLiQgkNV5Lkz5QkiYiInMC6lbm8+MRaykvqAThSUEOrw0X22GHtpv+Lf1GSJCIi0gm3283WdfnU17bw+rObACgubNubbYQtwZehST9QkiQiItKJmqpmr2PDMGiobxu0HR0T4ouQpB9pxW0REZFOlHzTawRgNpt48vdfeI6jYkKorWvu6DTxE0qSREREvsUwDD5Ytp2CvCpPmdtteF5nj0vEGhwISpL8mh63iYiIfMuRwzVeCVJmdpzn9RkXjOGsi8f5IizpZ0qSREREvqW8uN7z+qZ75pI5Kt5zbJuY5IuQxAeUJImIiN/76tN9fPrubq8ywzAoPFTFyg/tuFxur/dWL98PwJW3TCcs3Er2uMR+i1UGDo1JEhERv+Z2u9mxuRCA/XtKOf08G2ERVj77125amp1A2xijlIwYANZ+fsBzblxiGAABgRYAIqKC+zN08bEuJUk2m20dcHR0mstut5/ZdyGJiIj0nr27Sr2OV35ob1fnX69s4+Z75xEaFsTX6wsASEiKwGw+9sDljocXavHIIaarPUkf2e32X/ZlICIiIr3p8MEq9u0qIWdHcYfvW4MDPD1JAF9+spdzLptAcEgAzU1OzrxojFf9gABLn8YrA09Xk6SJNpvtx0AIsNFut3/QhzGJiIj02I7Nh3E5Da/HZgB3/ug0Du6r4OO3dwFw/fdnE2QN8Kx9lGsv50BOKc1NThKSwomJC+v32GVgMRmGcdJKNpttlt1u32Cz2SzAKuCndrt9VWf1nU6XoYxbRET6W3NTK3/4+UftyuctHslZF3Y8bd/R4uSNFzezf8+xx3KLzrGx6Duj+yxOGXA6fI7apZ4ku92+4Zt/XTab7UtgMW3JUoeqqhp7EmCXJCREUFZW12fXH2jUXv+m9vo3tbf/HZ2Vdrwrb5lO/LDwE8Z2xoVjvJKkxOSTt2UgtLc/+XN7ExIiOiw/aZJks9nGAPPtdvsz3xRlA2/1XmgiIiK9o66mbY5RaHgQMxdkMm5KcpfOs1jMzFqYyYYvDxKXEEb8sPC+DFMGia70JNUCF9pstmQgEigAXunTqERERLrBMAzWrjhA3t5yAoMs3Hj3XMzm7s1Emz4/kylz0rFYtISgtDlpkmS324uAy/ohFhERkR4pPlzDto2HgaNT93s2VV8JkhxP3w0iIjKoGYbhWSwSYNyU4T6MRvyJVtwWEZFBp7mpla8+20dSShRffrLPU37r/fMJDgn0YWTiT5QkiYjIoLNraxH7dpWy71uraStBkt6kJElERPpdU6ODkqJaAgIspGbGdPv84BDvX1+jxiUyc0FmL0Un0kZJkoiI9KvCQ1X865VtnuMLrp5I+oi4Lp3b1OjAZDKx6uNjj9guu2EqSalRvR6niAZui4hIrzlyuIb6upYT1jk+QQL49N3duN0n3/2hvraZ5x5bw7N/Xu0py8yOU4IkfUY9SSIi0isO2Et556WtAFxz20wK86sIjwwmKzu+03MSkiIoK66joa6FiKjgE17/83/b25WlZHT/UZ1IVylJEhGRXrHui1zP69ee2eh5fddPTve8rq1u8ry+eskM9ueUUlZcx6EDFdTVNDNxRipulxtrcADW4EAcLU4CAi2YzSYaGxxe9xs7ebim+0ufUpIkIiKnzDAMDuVWEBhkodXhaveeydS2uOOXn7aNJYofFk5cYjhVFW17fR6dxv/1+gIAYuJCOe/Kiby8dD1miwm3q+1xXFh4EGkjYqX3AZcAACAASURBVImKCWHa3Ix+aZsMXUqSRESkx9xug+LDNZgtJpytbkbYEoiODWHL2nxPHUeLE2twIAV5leQfqATgrIvHAZCVHc+osYlem8sCVFU08vLS9W33cB0br9RQ72Dx+WP6ulkigJIkERHpodIjtbz5/BavssjoYGYsyCQ8MphVH+8F4N1/fs2w1Ch2by0CICk1ipi4UAAsAWbOvmQci84dzUt/W0dLs7N/GyFyAkqSRESkR/L2lrcri4oJwWIxM35qMlUVDezYVEhFWQMVZQ2eOraJw9qdF2QN4Nb752Mymfh6fQFrPz8AwOjxw2htdREVE4KjxUnGqK4tFSDSG5QkiYhIjxz/SO2oyOgQz2trcPvVr8dNGc7YSR0Ptj46bil7XCJrPz9ARFQwZ140tpeiFek+JUkiItJtOTuKPa+v//5scu1lHM6rInF4hKc8OjbE65yZCzOZMT/zpNcOi7By9ZIZhIQF9Vq8Ij2hJElERLqtILdtAPa8M0cSGR3ClNnpnH3heMrK6jx1MrPjiYgKJjDIwjW3zezW9eMSw3s1XpGeUJIkIiLd1lDftqr2xOkpndYJDLRw3R2zMDj5atoiA5GSJBER6bamBgfBoYGYzSfe3coSoN2vZPDSd6+IiHRLbXUT1ZVNhIS2H5gt4k+UJImISLd89OZOAOprT7yRrchgpyRJRES65eiaR9PnaVsQ8W9KkkREpFuiYkKwBgcwdU66r0MR6VNKkkREpFucTjdBVs37Ef+nJElERLrF5XIToFlrMgTou1xERLrF5XRjsejXh/g/9ZeKiEiX1Ne10Opw0epwYQlUkiT+T0mSiIh06vDBKqorGxk/NZm3X9zimfafMEzbhoj/U5IkIiIdqq1u4r1XtwGQlhXjtS5ScnqMr8IS6TdKkkREpEM7txR6Xr+8dAMAicMjmDI7jRG2eF+FJdJvlCSJiEiHaqub25VNmpnKyDGJPohGpP9p5J2IiLRjGAZ5e8vbladm6jGbDB3qSRIRkXb27S5tV7bkgQVYg/VrQ4YOfbeLiEg7xYdrADjr4rFERAUTGR2iBEmGHH3Hi4hIOy3NTgCS06IJi7D6OBoR39CYJBERaaeluRVAvUcypHX5u99ms4UA64FP7Hb7w30XkoiI+FptTTMmEwQEWnwdiojPdOdPhN8AW/sqEBERGRgKD1VRU9nk6zBEfM5kGMZJK9lsthuBBmASEH6yniSn02UEBOivDxGRwebjd3eyflUeAFNmpXHxNVN8HJFIvzB1VHjSniSbzTYOGGu3239ms9kmdeVOVVWN3Yyt6xISIigrq+uz6w80aq9/U3v922Brr2EYngQJYO4ZI7sV/2Br76lSe/1HQkJEh+VdGbh9GdBss9l+AiwAZtlstgd6MTYRERkAjl9he8rsNB9GIjIwnLQnyW63/9fR1zabLZi2x22P9mlUIiLSp1wuNxbLsb+T16w4wLYNBQDMO2Mkk2cpSRLp8hIANpvtCuA0YI7NZruu70ISEZG+tG93CU//75fk7CgGoLK8wZMgASSlRvkqNJEBpcuz2+x2+5vAm30Yi4iI9IMVH+TgdhkUHaoiNSOa157e6Hlv5oJMhiVH+jA6kYFDq4SJiAwxblfbrOamplb27irxlF+9ZAZxieG+CktkwNGK2yIiQ4TL5ebDN3Z4jsuL62msd3iOo+NCfRGWyIClniQRET93dGr/1rX5XuWNDQ52bC4EYObCTK+B3CKiJElExK+5nG6eemQVJ1s3eNTYxP4JSGQQ0Z8NIiJ+7Ok/fdlhgpQxMpapc45N84+KCenHqEQGB/UkiYj4qcb6Fs8g7aiYEBadO5qGegfL39vD+GkppGXFkjU6gYSkcEymDndlEBnSlCSJiPipD9/c6Xl97R0zMZvbHh5kjIzFGhwIoOn+Iiegx20iIn6ooa6F0iNt+2zdct88T4IEeBIkETkxJUkiIn7GMAxe+OtaAKJiQwgJDfJxRCKDk5IkERE/k59b6Xk9Y16GDyMRGdyUJImI+JkjBdUATJ6VyugJST6ORmTw0sBtERE/YRgG5SX1lBTWAjBjfqZvAxIZ5JQkiYj4gby9ZXz01i6vsiCr/osXORV63CYiMkhVlNWzf08pACs/tPs4GhH/oz8zREQGqWXPbALapvs3Nzm93jvvigm+CEnEryhJEhEZ5NasOABAQKCZ2x9aqNWzRXqJkiQRkUHG0eLEEuA9WiIsIogb7pqrBEmkFylJEhEZRBwtTp57bDXJGTFe5WddNA6zWQmSSG/SwG0RkUGksrwBl8ug4LgFI1MyoklOj/ZhVCL+ST1JIiKDSH1ti9fx9HkZzFyY6ZtgRPycepJERAaR2uomr+PJs1I1Dkmkj6gnSURkkGh1OFn/RR4AoeFBjLQlYA0O9HFUIv5LSZKIyADmcrkBsFjMlB6p85TffM88X4UkMmQoSRIRGYC+Xl/A2s8PeI6/c+l4Wh1tC0bOOi3LV2GJDClKkkREBqDjEySAT945ti/b8NSo/g5HZEjSwG0RkQHG2eo64fuJyRH9FInI0KYkSURkgKmpapvBFhMfyk0/mMvIMQme904/z0ZAgMVXoYkMKUqSREQGmH17SgEYO2k4YRFWgqzHRkYkDlcvkkh/UZIkIjKAbF5ziK1r8wHIzI4HIC0rFoDwSCuxCWE+i01kqNHAbRGRAaDV4eTFJ9bR0tw2gy00PIiomBAARo5J4PaHFhIYpMdsIv1JPUkiIgNAWUm9J0ECmH/mKK/3lSCJ9D/1JImIDADHz2i7eskM4hLDfRiNiIB6kkREBoSjvUiTZqQqQRIZIE7ak2Sz2czAe8B6IAgYCSyx2+1NJzxRRES67GiSpDWQRAaOrvYkrbXb7b+y2+0/B0KBy/swJhGRIedokmQN1igIkYHipD+NdrvdDfwGwGazBQCpgL2P4xIRGVKOJUmBPo5ERI4yGYbRpYo2m+0c4EFgvd1u/8WJ6jqdLkMrwoqIdM3BA+W88MRaAH7wk8XEJWhMkkg/M3VY2NUk6SibzfYCsM5utz/RWZ2ysrruXbQbEhIiKCur66vLDzhqr39Te/1bV9v7t9+t9Lxe8sCCQfvITZ+vf/Pn9iYkRHSYJJ10TJLNZhtns9kuOK4oDxjRW4GJiEibyOjgQZsgifijrvw0tgC32Wy2qUAgMBa4r0+jEhEZQhKHR1B6pI6rl8zwdSgicpyuDNw+gGaziYj0CUeLk9IjdUREWgkMUi+SyECixSRFRHxo99dHALCGaFabyECjP1tERHzAMAzWr8pj69p8AOYu1lBPkYFGSZKISD/btqGANSsOeJXFxIf5KBoR6Ywet4mI9KOdmwvbJUgTZ6QQFm71UUQi0hn1JImI9FBleQNh4UFdXiW7uamVLz/dB8AZF4yhpqqJjFFxDEuO7MswRaSHlCSJiPRAdWUjrz29kbCIIG76wbwunVNb3bYv+Ojxw7BNTOrL8ESkF+hxm4hIN9XXNrNp9UEAGuocPPXIKjZ91XbsdrtxudydnNcCQPwwbTsiMhioJ0lEpBtqqhp5eekGrzJnqxv7zmLiEsP46K1dAMw5fQRnXzDOq15dbTMA4ZHB/ROsiJwS9SSJiHSRYRis/HCv5/j082zMWJCJyQS11c2eBAlg3cpc/uc/PubI4Rqam1oBqK9p60mKiNIgbZHBQD1JIiJddKSghqL8agAmTk/BNjEJs9mE2Wxiw6o8T70Z8zPYtPoQzU2tvPPSViKjg1l07mi2bzoMqCdJZLBQkiQi8i17d5VQWlTLjAWZBIcEciCnlE/e2e15P3NUHAvOzvYcT5ye4kmSYuJDv+ldMrHxm3FKtdXNvPfqdqBtE9uQUK2uLTIYKEkSETlOfV0Ly9/bA8COzYWYzSbcbsPzfpA1gLMu8R5rFGQN4OZ75lJypI6s7HgAZizI5NxLJ/DGi5vZs+2Ip+5F107GZDL1Q0tE5FQpSRKRk2ppbmX5ezkU5lcxZXY6E6en0NLcSlRMqK9D6xW11U1sXnMIS4CZ6G+16fgEacb8DGYuzOrwGqHhVrKyvccamUwmJs9K8yRJtolJREaH9HL0ItJXlCTJkNfqcLJ9UyETp6cQZB06PxIulxuLxXvuRqvDRUFeJaFhQbQ0O0nNisHZ6uKlv63D0eICYNNXB9n01UFMJrj2jllEx/ZPolRSVIs1OKDX77d59UE2fHmwXfnCs7M9Cz9C2yDtsZOHd/v6MXGhTJmdxtfrC5g4PeVUQhWRfjZ0fiOIdGLtylx2bSliw6o8EpLCGTs5mcJDVUyZnUbicP9cCflAThmfvNM2Eyt9RCzT52dQkFflWevneGERVk+CNMIWT669HADDgFf+voGzLxnHyDEJvfYIqa6mmdXL91OUX83UOemEhAZywF5G/oFKAM68aCzQltyGRwSTPjK2R/eur21m28bDbN94uN17Z18yjlFjE4lNDKO2qokxk7qfHB1v9qIRTJmdRkho0CldR0T6l5IkGfKqyhs9r8uK6ykrbpvifSCnjPOvmkhdTTPjpyb71TiSo7OsAPJzK8nPrey0bkNdCyYTXHzdFJLTozEMg/raFl762zoAPn13N00No5g4I7VbMRiG0eHXdN3KXPL2lntef9vR8UJHXXjNJNKyYoG23rEjBTUkp0fhchoUF9ZQW91EbXUz1uAAbBOTOFJQw6fv7va6xvwzR5ExKpadm4uYOCPF80gsOS2a5LTobrWrI2azSQmSyCCkJEmGLKfTxY5NhZ4p3aHhQTTWO7zq/Pv1HQAU5FXynUvGYwkY/EuLHTpQQfHhGs+xxWLC5WobdzNtXjoTprVttpq3r9zTyzJ9XgbJ6W3JgslkIiIqmJvvnce6lbnYdxTz1Wf7ydtXTnlJPTMXZHoSplaHi8Agi9f9m5ta2bWlkG0bDxMZHcLp540mflgE0JaY7t9TCkB8YjjlpfUAjJ4wjBnzM6mpaqS4sJaWplZ2bS3CMOD917ZzxgVjaHW4+Hp9PnXfrGrdkfVf5Hkdp2bGMH1+hicRmn/WqJ59UUXEL5kMwzh5rW4qK6vr/Yt+IyEhgrKyur66/ICj9p46p9OFs9VNYKCFrz7bx77dpbQ6XF51zrp4LNnjhtHU6OCVv28gIMBMw7cSJoBzL59A+shYzGZTr/Qsnai9LpcbR4uzV3ogWh1O8vaWk5wezWfv7eFIQVuS9P0fL8JkMrF59UFi4sMYYUvo1nUNw+DpR77E6fTehuP4xAtg6px0HA4nFcX1FBfVetXNHBXHOZdPYO/OYj7/tx2Aq5fMIC4xvNPepqP3fvP5zZQV158wxpCwQBKTIijIq/IMwp51WhaTZ6USEGA54bmnSj+//k3t9R8JCREd/kejJGmAU3tP3cdv7/SMo+nMZTdOJSklynPc0uwkb28Z8cMi2LOtiJ1birzqT5iWzMLvjD7pvRvqW3j7xa3U1TQzbW46MxZkeg2W7qi9FaX1VFU0eh4JXX7TtC7vEl9X00xAoNkrsaosb+C1pzd61QsINLPk/gW90jNWkFfJ+69t7/Z5w1IiKSn0TpjMZhNjJiWx6Fxbl65hGAZ7th3h4L5yCg9VE5sQxlkXj6WsuJ6wCCvDU499pm63QX1tM6HhQX2eHB2ln1//pvb6j86SJD1uE79WeqT2hAnSsJRIJs1IbZeEWIMDPIN1ZyzIxDCgsd5B3r62a+3cUsSMBZkd9vIYhsGurUUU5FZy+FAVzta2XpYta/PZsjafmQsymbEgs8N4Wh1Olv1jk1fZWy9sYeaCTKbNy8Bs7rz3qqK03nPu9x4+DbPFxOY1h9jYwcytWQuzeu3RYVpWLHf95HQAGhsc7N5aRHxSOLVVzUyYnsyBnDK+Xl9AeUlbj8/0eRnMOq1tGn15SR1vv7TV8zW67nuzujVF3mQyMW5KMuOmJHuVd7Q0gdls0vR7EekW9SQNcGpv99XVNPPpv3bjcro9v5iPuvCaSSSlRBEYZDnho5zOvPXiFq/ej5FjEqgorae6sgmAiTNSCAoKYPOaQ546FouJcy6f4BnfBG2bn9omDCM1PZbKygYADh+s4r1Xt3V673Mvn0DW6HgMw8DtNrBYzBiGQUlhLaXFdaz+bH+n544ck8CosYm4XG5GjknAbPbN2KqOPt+aqkZ2bC4ke9ywLveYDRb6+fVvaq//0OO2QUrt7Z7WVhcvL13vNQB73JThzDtjJLU1zcQlhJ9SfK0OF/V1Lbz61IaT1k0cHkFoWBCLzrMRGhbErq2F5GwvpvTIsfYFBJi5/OZpbFiVx8F9FZ7yuYtHMGF6ClXljbzx3GZP+ZkXjqHwUDU5O4qxBgdw2jmj283U6shVt84gftiptb036PvZv6m9/s2f26skaZBSe7smP7eCD5bt8CpLTI4gMSmSBWeP6vXp+zVVTaz4IMczSyw0PAi3y6CluZXouFCmz8sge9ywDs/dtrGAbesLOhwYDnDOZeO9BlA3N7Xy7J9XnzSm0PAgLr5uMuERVgrzq/n8AzvW4ACuWjKDwMD+GYNzMvp+9m9qr3/z5/ZqTJL4rYrS+nYJ0pIH5mMN7rtNRKNiQrjshqm43W4MN57xPS3NToKslhMmZZNnpjF5ZhrlJfW8/uyx8UfzzxzF2MlJBAZ5/1gGhwQye1GW1/T1Wadlee06f+v98wkOOdbezFHx3Hp/fI8eKYqISJvBv+iLDCktza2e1y6Xm9IjtXyw7NjMqokzUrjylul9miAdz2w2ew2AtgYHdDkpiR8Wzvd+eBqBQRbOvHAMk2amtkuQjpo2N4M7f3Qa4ZFWYuJCmTY3nctvmkZCUgRT56R7JUjHU4IkItJz6kmSQaGp0cF7r26jorSBsIggJs5IZfPqQ571jmYtzGT6/EzfBtkDSclR3P7Qwi7VNZvNXHPbTAyjLfkZlhzJlbdM7+MIRUSGLiVJ0usaGxzs2lrEqLGJBIcEYA0OPOHU9ZNpbmrlucfWeI4b6hys+/zYdhVpI2KZMif9lGIeLIbSBrwiIr6m/3HllDU1OnC2ugmPtFJ4qIrtGw9z6EClZ7PU9BGxXHD1pG5f1+Vys+mrg57VoTsyd/EIpsweGgmSiIj0LyVJckrWrDjAtg0FAAxLjqTkW1tOQNsGqm63u8tr8xiGQV1NM3t3lrBlbb6n/OZ75xESGkhjg4OP395FeIRVCZKIiPQZJUnSYy3NrZ4ECfBKkJLToxk7ebhnx/alf1jl2R/N7TZY/dl+6mqamb0oi7hE7/V7Vryfw95dJV5lk2elEhrWtrp1WLiVy2+c1lfNEhERAZQkySnYtuFwp+9NnJ7CCFsCDfUtnvFDX3y0l2HJkfzzyfWeehVl9Xz3ztlYLGaaGh189M5OrwQpa3Q8Z18yzmu/MxERkf6gJEm6ze02+OrTfeza2rbp63cuHUd0XCjFh2s5dKCCgtxK0rJiAJgwNQX79mKqKhppdbi8EiSA+toW1q44QE1VE/m5lV7vJQ6P4LRzRitBEhERn1CSJN1SeqSWN5/f4jlOzYxh5JhEAOISwhkzKQmX0+1Z7ycwyMK1d8zihb+uoaHu2ArT37l0PNGxISz7xyZ2bC5sd59zLx9PZna81vkRERGfOWmSZLPZRgK/AbYAqUCF3W7/VV8HJgOP2214JUih4UGcceEYrzoWi7nDnp+LrpnMq09vJMhq4eZ75hEQ2LbBbGCQhVaHi+T0aCwBZtIyYgmPspI1OqHdNURERPpTV3qSYoFX7Xb7uwA2m223zWb7wG63bz7JeeJn9u0+Nlboxh/MJTzC2uVzY+LDuOsnp3uVmUwmLrp2Mi6nm+T0aMC/9wYSEZHB5aRJkt1u3/itIjPQ0DfhyEBWWtSWvJx/5cRuJUgnMiw5sleuIyIi0tu6NSbJZrNdBnxst9tzTlQvJiaUgIC+23U8ISGiz649EA2U9laVN2AyweTpne8x1hsGSnv7i9rr39Re/6b2+rcu/6az2WyLgcXAAyerW1XVeCoxndBQexwzENq7b3cJeXvLKcyvZlhKJNU1TX12r4HQ3v6k9vo3tde/qb3+o7Pkr0tJks1muwBYCNwPDLfZbBl2u31t74UnA1FzUytfr89n67pjC0ZOmZXmw4hERKS73M1NYLFgDgzydSiDTldmt00HXgM2AZ8DYcBfASVJfqy+tpkXn1jXrjw2IcwH0YiISE+4W1rI/fHDBERFkf5/f4HZ2jvjSYeKrgzc3gyEn6ye+IfdXxfxxUd725VHRgcTEGghMjrEB1GJiEh3uZub2H/PXQA4GhrY/4M7iT7rbFz19ZgCAgkdO5bwKdP6PHEyXC5qV3+Fo6yUsImTCMkePWjWwNNikuJRUlTbLkG66tYZRMeF9OlAfBER6V2OI0Uc+vUvAbBmZtFy6CAYBtWffeqpU/vVKgLjE0j63vcJjI0lIDqmV+5tOJ007NgGmCj662Ne71V9+AHW9AzSf/b/MAUM/BRk4Eco/eL4HqSY+LbZiVPnpBE/TJ2IIiIDneF0UvnRv2ncs5vmgwcxWpo976X+8Ee4G+qp/nwFdRvX46w8tgVUa3kZBb/9NQDh02cw/Ps/6FEvT2tFBcXPPk1Tzp5O61iionHVVNOSf4jchx8k6w+PYA7qfJxU/fZtmCwWwsZP6HY8vUVJkmAYhidBiogK5prbZg6arlARkaHI3dxE4Z//RNO+9sMjjgpKTiHtJz/DEhKCJSSEhKuuIeGqazzvV/77fcrfesNzXL95EwX//WusqemEjMrGHB5G3bq1uB0OgpKGE3vr9V7Xr/jgPZyVFRiOVmrXru40jsxf/5ag4ckAtBQVceg/foarvo79d3+P4BEjGHbLbViTUzz1a9evo+qjD2gpaJs0lP3k0z7rdTIZhtHrFy0rq+v9i37Dn6cgdqQ/2rt902FWf7YfgBvvnkN4ZHCf3u9E9Pn6N7XXv6m9faulqIialStoKSo8YY8NFgsp9z9E2LjxXb52/ddb2x6NdSEnSHngh1R/vpyGbV+3ey9y4WkEp6UTufA0nNXVBMbFYzJ7b1XlrK0l96H7vMrCp01n+F334KqpJvfhB481JSqKkY/8ucvt6KmEhIgOewaUJA1wfdXe8pJ6/v3GdhafP4YNq/IoPVLHhddMIi0rttfv1R36fP2b2uvf1N6+YxgG++64tV15QFwczooKwqZMJfn7P8AUEIBhGD16GtB8MI+C3/0XhtNJYFISrcXFAETOm0/tms57igBCskeT9uOfdflehmFQs+oLar9aRXNebod10n72HwRnZGCy9P2Y2M6SJD1uG4Lcbjfv/HMrrQ4X77+2HYDk9GifJ0giIkOds7qa1opyQkaOwnA6qVnzFTWfr6ClIN9TJ3zGTFw1NUSfcRYRM2e1u0ZPh0sEZ2Yx6om/e3p+DLfb8zppyR3ERgSy6a5728Y0WSxk/ff/YDidOIqPEDZxUrfuZTKZiF50OtGLTqd2/TqKn3rS6/3UH/6IkBEjetSO3qQkaQhauyKXVofLq2zclOE+ikZERGpWf0nJs8+csI45LIy0h3+CNa3vFvU9/tHYtx+TWYKDGfGH/23XUxWUmHhK94ycPYegYUm0lpXibmnBEh5O6Nhxp3TN3qIkaYgpKapl+6bDAFzy3Sm8v2w7qRkxZI8b5uPIRET6n+F04qqvJyA6+liZ2w0mU7seGbfDQUtBPk177bgdDuKX3NDuWpjN7ZKL6i8+p3bNahKv/S7BWcd6R9wtLbSWl1P8j6fapuh3Iu7SywmfOg1rSuoptLT39MXEnuDMTIIzM3v9uqdKSZKfc7nc1Nc2s2VtPnU1zdRWt00LPeOCMSSnR/O9h0/zcYQiIn2jad8+qj9fTsSs2YRNmoyzqora1V9Su3YNlvBwMEFzbtt4mNDxExh+510c+ftSGnduJ3hUNuk/+b+ea317JhhAccowAmbMA8BZV0veT36E0dJM7IUXYbYGE5yZReNeO5XvvQtA6Sv/JHz6DMrfegNrSiot+Ye8rhc4LImEq6/FHBRE3cb1BA5LIubMswfFekL+SgO3B7hTae+ebUdY+aG9w/eWPDAfa3DgqYTWJ/T5+je1178d317D5aLwsT/RuGsnyfc+QPjkKf0Wh+FyUfXxh+2Smu4aftc9REyfgbu5mf33fN9Tbs3MouVgHgCBCYkExMWdeLZZF6T//JcDsifleP78/ayB2wOQ223Q0tyKYYDVGkBDfUuPtv04kFPKJ+/sBiAkNJDLbpxK3t4K1n5+oMP646clD8gESUR8r7NHTd/WsHMHZW8sA7cbR1Eh1vQMXBecS3VhCSarleb9+2nctROAor88CrTNVurrwbiGy8XB//gZrSUlHb4ffcaZuFscBCUnEz51OiaLhapPP6Ju3Tpc9W0JQOSC06hbt4Yjf3uciuQUHEWFnvOPJjNlr79K1ccf0VpWSmtZKQAhY8YSNmEi5W+/CS4XWCzgcpH43RsIHT+Bgt//FldtLda0NMJnzMISHkH41GlYwsL6ZQaXdJ96kvpRU6OD0iN1DE+N4kBOmVcvT3BoIM2NrUydk8as07Iwf/NMOzY2jNef38TeXW0/8NGxIZx35USiY0Nxudzs213K5x/kdHrP0eOH0djgYPr8DCIig9m2sYDZi0YQGDgwfyAH8+fbE2qvfxtM7TWcTqpXrqDstVfAMLBERxM5ew4JV13brm715yso/ecLPbpP5ILTiJw7r23/rm+N3TkVTbkHqF7xGXXrju29nvbTnxMychTu5maqV3xGyJixhIwY2eH5htuNu7Gx7TEcULXiM8pefsmrzqi/PYU5sO0PTGdNDQW/+SWtVVUAxHznXOKvvBqT2YzhdGI4WzEHt/+j9/gZY4PNYPp+7i6tkzQAfPbebvbtKj1pvRG2BM65rG0RsA+WbSc/t/IkZ8DYycOJiApmw6o8T9nkWWlMn5eBNXjwdBgO5s+3J9Re/9KUe8CzxUPYpMnY7v4e9QFhPo3J3eqgyZ6DdlpCRgAAIABJREFUKSCQ1ooKAqKiCMkeTeOe3TgrK6hdu6bTdWoARvzvYwRERnqV5f30R57ek4C4OEJHj6H+6y24m5oACJs8BXdjI/FXXEXIqGxcjQ0U/ukRr/uYgoIInzwFR3ExroZ6QkaOInBYEobTSd2G9YRPm05I9mjczc1EzpuPyWTCcLtxFBdjCQujtaKCunVrCBqeTNXyTzxr+hyV8Ytfn9IsMMMwqF3zFY27dxE0PJnoM87EEur9Wfr79/O3+XN7lST5WHlJHa8/u7ld+YRpKezcUtjBGd4sFhOLzrWxooNeo7MvGceosW1TMKsrGzGZICom9NSD9oHB+vn2lNrbdYZh4G5qxFlRiSnYCgYExERjsgQMiL/MDZeLQ//5H16PZsJGjiTpgYexhHT/MXpvxOOsriLvxw9367yoxWfgqqujftNGT1nYxEkk3/cgNStX4CgtpfrTjwHI+OWvsaa2JSKG00lQST6OpM4X/2vM2cPhP/6+220xBQSQfM/91KxaSf2W9v+PHi/mvAuIOfOsXtus9UT08+s/lCT5SOmRWt58fovnOCUjmsTkSHLtZVx6/VRCw4IwDIOvNxSQlBJF5f9v77wD46rOvP1M7yONei+2petu425sU0MnQICQnkAgIW2z6dnd1M2ml002H2nsEhIIoYTeQjfF2Ma49yu5qPc6vd77/THSWLJGsmz10Xn+kea2Ob8555773ve85z3tPt58cfBaPItXFHD+pfPQ6bS4ewK88PhBOtt8XPuBpbgyrVO6jMh4M9Pqd6wIvSPj2bkDz86doMTwHz2K4vclPS79kkuxLliIRVqA/8ghTMWlBKqOEm5uQo1EsEgLMOblYSwoTHgkIG5IEIuhNZ/7PRQ4cZzWe+8h3NyU2Fb+s1/S8cRjiaEf+4qVFHzuX875O86WmNdLzfe+Tay3Z9TnODdsIu+22xOfg7U11PWtIp8M+3krKfj8YE2jrV/PjndovvsP8XM+8CF0dgexgJ+el15EVRRMJSX4Dx6IT6kfBUXf+HesldKojh1PxP2bOggjaQo4WdXOC48fGrTt5ltXkp3nGPG8zjYvaRkWDu1uIhZVZlWg9bnUb6i+js7nnsG2aDFpmy6coJJNDOPZnv1HDtP0h9+hdzop+vo3ifb0YCoqnlYBoaPVG2pqpOPxR/Ht3TNkX9oFFxFpb8d/5FCSM8+ATofWbEbxDTa2HGvWkf2hD6N3xIeVfIcPEW5uIm3jBWhNJkKNjQSqZRxr1uI/chjbosWE6hvoevH5IWUs/+kvMGRloyoK3ffdQ8eW+HIOjrXryLvjznHJMRNqakRns9P1wvN43tmGuXwO0e5uHKvXoCoK0Z4eeje/CoAhO5uyH/4UjU4XX9riM3fEg4qBij/dM2L7iPl99Gx+jc4nHktsc27chNZoxHXZlRiyswcdP57tWQmH40tsRKO0/uXPeHZsB+LDmHmf+gwxdy89m18l66b3ozUMv5L8RDKTnkfjwbnq7U8+ea7LpUwGwkiaRPa/28ChvU30dPoT295/20qyckc2jpIxE/SOJ2ejt/2Rh+h+6YVB20xl5eR/+rP4Du7HlF8QDw6dxBwjZ9sJnEv9htva6H7hefSZmbguv4LezZvpePwfSd+6tXY75T/5xZiHe4I1J+MzmWIxjAWF2M9bgd7lOuvkdgP1Rrq64mtEZWeDqhKsOUmotob2hx88pUWrJf3SyzDm5qKz27EtOy8ROAvx3ztUc5JIZwfe3bvxHz4EGtA50zDk5OBYsQolHCZQdRS/fJRYz2DPij4ri2hHR+Kzxmgk/aJLhrSrM2HIzUWNRin8168MWs08O9vB0XsfoPPJx5OeZ1+1msz3Xn9Wv2O4vY2af//GqI7Nu+PT2BYvTQQjA7h3bKfl7j9S+OWvYVu0+IzXUGMxOp99mmh3F45Vq7EtHn75iYnsr1RVBVWdFkOr/cyE/jkQDbCteSe+sI+ryy9Dpz33l6bR6A3HwlR1H+dAx2GO9ZykxT84DtdusLGxcB3Xll8+rQwmYSRNEG3Nbhrreuhs9ZJXlMbR/S20twwu3x1f3XTOs8mmm96JZji9Mb+frueeJtzcHA8E9Xjo7ouL0Oj12JYuSxqrYMjLo/hr3xwxPkEJBul89mnSNl2APi0NjdE0aO2iaHcXOqcTrcGIGotx/MtfRPH7yPvUnTjXrkeNxeh44jG6X3geAH1GBsbcfPLv/OyghxOAv0pG73JhzM5J6K3fdZBAdRVqJILWZEbndGLIyiLc1IS5rAxjfgGRrk7a7v8rxsIi3NveJtbbO6weU2nZkOy9Jd/9T8wlpXFNqkr7Iw/R8/KLFHzhX9HodGj0eszz5hHzeAi3tKA1GkFVsVRU4t2/j6bf/jrpd9lXrca57nxsi5cMMUZD9fUYcnNBQ/y3UxRyctNob/fQ89ortJ02c+h00i68mJwPfWTcjFxVVYl5PEOmWwfraul65mm8e0aOdRmOjPdeT9b170u6LzvbQVtrL02//39JvWL9lHzn+5hLy/Ds3IHelUHbA/djXbiIrBtuRI3FCLe2YCoqJuZ2c+JrXxpyvjEvn0hXJ2o4nNiWdfMtZFx5ddLvi/l86GzjH1Au+qvpxa7Wffz50AODti3MlPjI/JvxhL1kml1Y9JZRGysj6VVUhYfkx3m7aceormU32Pjuuq9jMwwfP7u7bT+haIj1BatHdc2xIIykCaCz3csj9+wc8ZixJm2cTnong9P1KpEw4eZm6n7wvaTHp110CRlXX4ve5SJQXUXjb36FGg6jMZlRQ/Hs4vqMDPLv/Bzm8jlJ30Kb7/4Dnh3vDNrmWH8+nm1bB20r/c8f0fXc00OOHRGtFkNWNs715xNuax18TY0GRnH/OTdegHvLm4O2WeYvGJS8ruhr38RSKQ3SF+nq5OQ3vjrovMwbbkRrttD+0OCOczQY8wtwrFsfH+o6eniQB0bndFL0la/Tet9fCJ44jrGomHBD/alzT8s1kxSNhoxrryPmdpNx5dVDhnImmlBDPV3PPwdaDeaSMtLfcxkt//cngidPYFuyDOvixWh0+rjhuGcXlgoJQ8bIi0L3t+fAsWrqf/qjxPb++qr93rcJNzdhzMsn/zOfo/b73xn2Wqf/hvbzVqJzOsm8/n2J2WdKKITGaCTa3YXelTHpb+qzvb+aTLxhH683vM2mwvWkmeKjFFElilajRYOGF2pe5dmTL53xOpWueVxWciE2g5ViRyFazfCeuuH0NvtauXv/X2kLnOoTTDojoViYy0sv5sqySzFo9WjQcLSrmrv2/V/iOL1Gx82V17E6dwVmvQlVVXnmxIu8Vv8WESUCwG8v+smYPGCjQRhJ44yqqvzj3p10tg2ObdAbtHzo02uxO0zj8j3TRe9kkZ3toOrvj9Lz6ivYli2n9603Br0d6xxOYh43AGkXXEjux28bdL4ajRJua8OYlweKQufTT9L1/LOJ/a4rrsRUVIK5rIy6n/xo2EDgM6ExmVBDoUHbMq59L+kXvwe0Gtru/+vIs3CSGEhaux3F6z3jd1sqJYq+/m+ooRA9m18DDcN6DNRYjPaHH6TntVeSF0OvR5eWRrSzc9jv02dkkPuxW4es8u3ZuQPfvn24t7097Lk6h4OYJ3n7zb/zcxhycwkcq8aYm4d1wcJpNZQyHpyegfr0+B8lGKDuJz8i3NgwKIvzmejP/zPdmI391WTrbfW18bejj3KityaxrcxZQpYlg52te4ccf0XpJVw390oisQh1nkb+WfMKcvcxFFVJev3l2YvZULCW+RkVaDXaQSEEyfSe6K3lV7t+l/j8/srruahow4gagtEQv91zN7We+kHb56WXsyRrIU8cey6xbV3eKj628JYRrzceCCNpHAgFozQ39JCT76ShpptXn4m/yb/vY+eRV5iGoijEYuq4JmqcTZ2Od+8emu76n6T7rAsWUviVrydu1khXJ/p016geqp3PPj1sTEg/ubfejmPtWmJuDye/Gfe+6F0u5vzi10R7emj7+/0Joyf3tttJ27AJgFhfXpjhYn7Cra349u0h3N5OpKWZrJtuwVhYiEanQ/H7iezcSsSWjmP1msQ5qqqi+HxoTCbaHrgf95Y344HFH/zwkHw1o0VVVVrv/T/cW+MGTc7HPkH6hRefKmdzE5HODqwLF58aaozF8O7ZhW3p8vjw2zB49+ym6Xe/jXuCrnlvPH7I4cS6cBEarRYlHEYNh4n5fOhbagmaneOeSHC6Mpr71/PuDpr/9PvE54Iv/Cv25eclpstbFy3GUiklgqfLfvgTjHn5E1ruc+V0vTElRliJYNGnzgzcgUx2//yg/DhbGreP+vjvrP0aebacYfdvadzOCzWv0R0aOgtSr9UTVeKxgTqNjvML1nDTsiuIeDRYDfH+7kDHYf64/y+Jc87W49Md7KHZ18rv9t0zZN+izPl8bMEtOIz2JGeOP8JIGgN+X5i6453seKsGnyfuPdBoQG/QcfHV85k7f+KGBVLZSFIVBe/OdzFXVOLe8iadTz0x5BjXVdeQfsl74rFCY3ioxvx+3FveovPZp+PeI50OU3EJ5vI56KxWMt97/RljXyZiZsZk1+9ImYAng1Ruz8kYrd6qO25N/F/2o59hzM0dtF+JRPDt24OpsAhjfsFZlSGqRNnVug+dRsv8zErshpFjkc6lnXcGurDozZTk59De7knMZPr+tp/REezCZUrn66v+JTEslCpMVnvuDHRx76EHOemOL4h7ReklSK55SBnz2Nt+kHsO/o1yZyl3LPkoe9oOEFEiXFy08awMlp5QLyd6a3m5djMN3uZhPU0AFr2FQDSQ+Lw8ezG3Lfoweu25xQ+qqsrmhi0c6aoiqsSwGax8dP7NmCfRuBZG0jmiKCp/+8M2fJ7wkH1X3riI8sqJjZtI1YdK4MRxup5/dkgwa9amDZjXbUoMJUzEzDQlFEKNRickcPVsSdX6HQ6hNzmeXTtp/sNd2FetJv/Oz43ZGFdUhceqn+H1huRDoVeWXkJ7oJNK11xO9tah1Wi4pfIGtjS9w6PVTwOwJGsBFxZtYEFG5ZDzVVXlSFcVz5x4AX8kQEdw8KoADoMdT2To0PF7Si7k8tKL8UZ8uEzpGHUGVFUlokQw6oyJsh/sOIJOq0NyzcMb8ZFuSjvr38Af8fNm43Yq0ucwN70ssT0cCxOKhTFo9fSEevFG/ASiARZnLkCj0aCoCuFYGJ1Wj+EMD/3R1m+dp4HDnVVsKFhzRs/IK3Vv8FLtZr615ivI3cd4q3H7oKG1a8uv4KryS8/4nWOl1ddGR7CbBRkVeMI+7jn4N473Dh0Ovm3Rh1mVO3mLF08UwkgaJYqisHNLLTXVHVzzgaVsefkYJ+R2ACw2A4UlLhRFYcGyfErmZE5YOfpJtYdKtLeHhl/+fFDiPQBz+Rwyr7uBsks2pJTeM5Fq9XsmUl1vo7eZH++IzwRclbucW1fdhCYwPvGJoyUYDbG9eSf/qH5qzNfSoOGnG79LTFUGeYEerXqazQ1bRnWNjQVr2d9xGHc4eb1b9RZCsTCVrrkEo0GCsRDNvsGL085LL+eWyhsw6Yz8/ehjyN3HKHOWcEvl9ZQ6Ty09ElWiHOs5yf/b+79DvqcyfS4qKsd7a4b1kqzMWcautn0AlDqK+dqqzycCmSNKlK5AF1mWzISHZmB77gx08ctdvyOmxliVuxybwYZZZ8Id9vBK3RuJ77iq7D1Y9WYsBiu17nrMOhPXzLkcnUbL08df4OW615OWbXXuCm6pvA7rCLPBJprsbAf/PPgW9x95hKvK3sNlJRdOeED1ZCGMpFFwaE/TkGzX/Vz63gVULspNum8imekPFX+VTMejD6NGooTq6wbtM5WUkv+pO9FnZqHRx5eWmOl6zxahN3UIRAP8eMdv6Ap2J7bl2rK4puwKzstZMuKsoZGoddfzZsM2NhWto8xZgqIqdAa6ybYOfknzhL3874H7B73tL8lawOLMBSzIkHCZ0zjSVc3vk8R/9JNjyWJ9wWp6Qr280TB4ducnFn6QNxu2cXHxRp449hzdoR7SjE4WZc7n0pJNaDVa9vXuZ4lzCXaDjZPuWsrTShPDe93BHn69+w90Dvh9xoMfnv8fhGJhnjz+HAc6jgzaZ9Vb8A8YFhqIy5ROrjWbBm8T3kjyCRybCtdzVdml3H3gPmrc8f4r35bLRUUbON5bg5RbTnN3B23+DvZ3nENy0wHkWrNp9bcP2f5B6UZW5iydUuOon1S+f4WRNAoev383rY3xmVNGk45wKIZOp+GaW5ZSWDrx6wAlYyY3yuDJE9T96AdDtuscTgo+9y9YKiqG7JvJes8FoXf0RJUobf4OekNunCYHJp0Rb8RHTW89ebYcSp1FWPq8Ev1DKVqNFp1GN2iIQ1EVokoURVUJRANoNJpzGs6BeGDyW03b+UfVKa+N3WDjSys+w9uN7yS8LXaDjX9b/a+km9J4/uTL7Gk/QLmzhE1F6ym2FyYdXpO7jvFo9dM0+eILt2o1Wr699qv8YPsvALhzySdoC3RwsOMIJc4iXq0bnCbi+jlXcXnZxUOu+27LHv5y+EE+t+x2FmXGl/KIKFF6Q71kWU4ZXid7a/nlgFlLp5NjyeLf13wpMUwGZ65fVVWp9dSjqipvNGxFq9FyZdkl2A12FFVhW/O76DRaNhSuwxfxYdVb8UX8PHH8Ofa07U9cZyTjByDLkskdiz9KsaOQqBKluvsEz5x4kWXZi7is9KIhBmtEiXK85ySHOo8yL72cOWll/HbP3YnffrRcWHQ+lelzebX+TZq8rZQ5i/FH/VxQeD4LM+ezrfldXq59nWAsyPLsxUSUKM2+1kGG9XfXfZ1c6+SmvxgtqdxfCSPpDHh6g/ztD9vJyLZx1U2LMZr09HYHyC04t9lE48VMbZTdr75M+4NDc/GcaeryTNXbTzAawqQzjktytrPBG/bxRuNWdrfu4+LijWwsXHdO11FUhd5Q/EXBG/FT7DgVJNzgaaLV306RPZ8MSwZ6je6sY2dGo1dVVdoCHdR7Gnm7aQd6jQ6tRsPBzqGLO5+OXqMjqsYwag2E+3KsABi0BkBFVVWiamzIeeXOEjYUrqMivZwMs4vHjz3Lyd46LiraQL4tl1fq3qAz2MXSrEU0eJuodM3FG/bx9InBmbkr0ufwheV3JAJY97n3cffOU/fB++ZdM2h6c/93f/G8T2PUGXGHPdj0VrY1v8uD8sgzMofj22u/it1gGzH2xR/xj8ozEYlF8EX9PFb9DLv7jJT5rgqafC28v/J6VuQMTgsx0Rm3G7zNmHUmsq2ZHOs5ya93x9d/y7JkkmfN5to5Vw5qs2OhO9jDXfvuodXXxvr81RQ7CrAarLxc+zq51uzEsFyOJQuL3sJ1c69kfsbQF78zEYyGeOr4PzHrTVxSvGnSZnOdCzO9fx4JYSSNQCQS48m/7aGj1csFV1Sw6LzCM580SUzXRqlGoyjhMDrr0I7Wd/AAjb/5FRq9HuviJWR/4EMYMrMAzjhDbTrq7Q15sBks6LV6VFWlJ9SLy5ye2B+ORXj82LO81RhfzNSgNZBlyeBjC26h2FFITIlh0CVPKDpQb1SJotPoUPse5p3BLlxm15Dg0d6Qh5O9NZQ4i9Cg4ZGqp4Z19d9SeQMXFp0/ZLs/4qcj0EWJM74cRnewh4ernuRAx+Ehx853VdDoa8YTHhqI+945V1LsKGS+a96Q2ISYEhuyrV+voiq8UvsGwViI8rQS6jyN6DRauoI9vN00fLLOHEsWK3OX0x7o4EDHYQxaA7nWHArt+VR1H6PF34ZBa8CqN2PQGSm2F+AOe2jxteGLxpcJshmspJvS0Gv0uMzpHOw4nNRwOhs+u/Q2ih2FOIz2QV6K7GwHu0/I/PTd3ww6fnXuCiTXXP4uP4aiKlS65vHxBbfw7a0/HnLtb67+Ihq0Q64xkIr0OVSkz+HCog3YjVM3IWGy799drXtp8rVyTfll5zycORZsaXp8vaNbhDcVmI7983ghjKQR+MNPX0/8/5lvXjjd1pOZdo1yoJfIsXY9eZ+8I54TQaMhVFtD859+T6S9ndxbP0naxgvO6trTRa877OH1+rd5sfa1xLaryt7Di7WvoagKV5VdiqKqHOo8SoO3aYQrgUGrZ2PBOvzRAMd6TmDWm5Fc87DqLVhtRv5Z9XpSAwTAaXTw5RWfwR8N8Lu99+Ayp9MZ6CYYCw45NsuSydKshexo2T0oxiLLnMGXVnxmkGH3y52/S0wnLrTn0+htHnSt0z0x/ZQ5SwjHwkmHIa4uv4znT74MQKbZRW/Izcrc5WRbMilPK6XEUYjRoeG5Q6/zUu3mEX8ziAc+51lzKXUWoagK+bY8Mi0jD3uHY5F4Zt+zuIfDsQiHOo9y/5GHCcXis1hdpnQuK72IR6qeTBxXaM/HYbDTHeqh1d9OliWTYnsB1865nDxb8njF/va8r/0gdx+4L7H9Jxu/g9PooM7dwH/v/j0RJcrctPJB8UQ3zruWS0tO3T/hWJhX697k/IK12AwWtjS9g9PoYHHmAozDGOGTzXS5fycLoTd1EEYSEI3EeP7RAzTWxhNnzVuQzbEjpwLl5i/N4+Kr549LOceL6dQoVVWl84nHBmWwBtCazWitNqJdp7I221euouCzXzjr7ziTXkVVhrwxdgQ62d68k7lp5SzIrMQT9vJOyy58ET+rcpdTaB994j1VVdnfcWjQA2002A02bl/8USpdc4koUbY0budwp0ytuz7hwRhPlmQtTHh9bAYrPzz/W4kHZTAa5HhvDb6In78efmjQeRsL1pJlyeTJ488PueactDI+JN1Ivi03kefmQMdhuoI9xNQYGwvXYRowTfuNhq2c7K1NDDucLQW2PHRaHRlmFza9lTSTk/kZFeg0OoodBeecc+VciSpRGrxNFNsLEx6w/unidoNtkOGlqAoaNGc0xvrbc/9QUY41K/Eb9rOrdS9/PvT3xOfr5lzJ5aUXT6uXtdEynfqryUDoTR1mvZF0dH8zm5+Xh92/7qI5LFlViF4/ddMZlWCQ+heeImbQMuea99P6yj/pfehhSHPgfN/7yNt4yTldV1WUcclu7Nn5Ls1//B06p5PCL30VrclMzbe+mfTY0Dc+zZLKocM8ZyJZ/Sqqwos1m3n25IuJbQatHqs+PtTniXhHTHz23jlXcnmSYM1+atx1/Hr3HxPxLP1ZZgF+tul76DU6Xm/YSo27Fg1aDFo9J3prmZdejt1ooyJ9LsuyFw37/a3+dtr87Wxv3kmFay42vZVgLIQ37KPac4xQOMInF32ETIsLuesYjd4mFmbOx2VO58ljz/Fm3zBerjUHnUbLsuzFXDvncjoDXcjdx6h0zR0UcDuQiBLl8epn2da8g8gAXWadmc8uu40mbwtOk4NFmfPPmBNmODoDXTxS9SRmvZl1+avIt+ViM9hQVIUWX2tck685sWTChoI1zM+oHBLPkoqMtr/6/GvfSPz/4w3fJs00tbGQ50oqP0STIfSmDrPSSFIUBb83TGNdD689eyro8wN3rKamuoN33oi7tj/ymbU40yc3A3FXsBtP2Eups5i6PW9jCITo/PuDGIPxIQ6/04zVfdqQyoqlzL31TnRWG+G2NjqefIyY203OBz9MyO+l6a7/QS0vJnj+cmKhIKUF8wk+/jSBKpnc2+4gbcPGcy6vGotR/7MfEzxxnMIvf43OknSePv4Cq/b0kPH2QTQlhRxNC9FiCFJVasJv6fMQGKysyF6adJbNkO9QVbCGaeno4c8HH8BpdBCIBWnwNBEbIWbEorewKFMatG7RxoK1aDRadrbuTWSGrUyfy7+c96mEsaSoCoc7Zf6w/94h15Rc87h98UdHXKF6PBhte273d5JlOfcFSwPRIHJXNW8378Ad8vC+edecU5DpWEnlTjYZo9XbFezm3kN/5/yCtazPXzUJJZsYRP2mNqmsd9YZSS2Nvbz05OHEMiIA19yyhOLyUw+aSDhKOBzDZh/fZG/DpfU/2HGE+448jC/sQ6oNceVW95Bj2lx6XO4ohjPEkSoGHdrI2QWbmubMJe8Tn8RUOHxguqqq8YVXFQWNXk+0t4fOp57Au38fsZ4ezPMq2HnTMl6tf7P/BExhlZAxHpM0HD88/z9IN6UN+5APRoM8UvUU77QkXxRWr9Hx8YUfwGqw8krtGxztrgbgpnnXsr5gNRa9hZ5QL0atAaPOmBiq8YZ93HPoAaq6jyWuZTfYKE8rGZRTZU5aGUsyF1DiLKIifc6kJUhL5U4nGUJvaiP0pjaprPecjSRJkvKAHwLLZFlePZovmyojKRKJEQnHOCG389ZL1YP2bbq8gsUrxj5rLep2o9Hpki5p0T/z6X9f/AXeWIAPXHhnIg9JMBrkWy9/m027vSw8OTTotp+K/70XX8hLc9MxCooksrLtNLd188r2f2B/bQdzGk8tj3J4jhmtojK/Jm4IdqTpyOqNG05+pwmrO8S+CgsxLSw8EcQcUVG1Gub87L9RwyFqvvVvAOhdGfHV2I/2GQ0aDRqjCVQFNTx4OZYtH1nJLjW+crPLlD5kYcSPzL+ZpVmL+Ef1UziMdo731FDnaUjsv+vinyVS/x/qPMpfDz88aA2ggazMWUamJYM8aw4VrjlkmM8tV1VMiXG89yQPHH2MjsDQ1e43FqzlporrpiT4NZU7nWQIvamN0JvapLLesRhJNwMh4HuyLI/KDzwVRlJrk5t/PnqAgD8+XKXRwNLVxZRXZOLuDVKxMBetdmyBkA2//iX+QwcBCBdkk/O5z/PYa38kEvQTKMzE0tLNwmofJS3xMhwtNVF7zUr8sSB1ngau2tJLZd0pzxaLKunsbUM3v4IOXZC8ymWsWPaeYfX2hHrZu/sljI+/hFxi5PJbv41Go+FQ51HsRjvLshbSEehCr9VTYM+jtrceb9TPsZ4THKl6l4tfqsXlOfepzoF5hdy9JkKeLZcvn/cZ7EYbbzVD2R6DAAAeaklEQVRu49kTL7E+fzU3zLt6yDlRJcpPdvyGFn8bABcVbaA90MmhJDlvFmRUcuuqmznScJJl2YvH3WiJB2Ufpqr7GHaDndV552E3WCd1EcXTSeVOJxlCb2oj9KY2qax3TMNtkiRdBPxyuhhJd/3bH+mKFFJKM2tuuYjNbzTS0XpqCrVNG2KlpQF7oJVQVRX2tevI/eBH0NpshCMhapuOUlK0ALNh8MPx9IUW+zn60mNEn3oeY+jcDAyvRcu+Sgsb9sWnZWfdeDPO8zegTz+zZyRZo4wpMTQazRnzgry4o45dVe109gZxB/xkZr3LJ7ecWnalI13H/gorl7wbv/7xQiPbl9qw+xX0MZWNe7wcnGdhX6WFiP7UcFp+y3vp6ICF5RnceMEcstJGjucKx8Ic7DzKPQf/Nmi70+jgwqINpJucVLrmkmF2pfRNmAyhN7URelMboTd1mFQjKRqNqRM5S+zn/3o/QX36kO2FvTKV7dvRoDIan1FEBwc/tp7PXf8VtFotj257mIOb/4lr0WLWrLiYJbnzqWmopvsr/4VWBUUDW5bbCRs0LDoZIr99wFCU044mGMK8SGLp179Bx969HP/5fw/5zpzbbse/aDXPvHWCj129gNK8sc9iiSkqjW0eguEY3/3TVnzBKGl2I73ewUNlBlMUw6KXuXK7m+YsA3slCzF3Frq0oUNQwxFtKSVSt2DQtu/dsY5VC5LniXlxey0Hj3fwL7csp6a3lgcPPEWXv4dPrfowi3OlsxcrmDUoiko0pmA0DN+XxBQV3Rg9xAKBQADJzYYZ6UmSTzTw0L1/xewpIKTLIj3QwqLWNzFH/TRmG0jzxggZNLy5wk5WT5RNe5MvXggQMmh49WPn8fm1n2XzT79C2cm4ley2amnINWILKJS2hDm5LJ+8mz5IljOe3VdVVWpffQajP0z+1Teg0Q+dPh1ubuKtl3bi2vpPAjojW11LOeIoH3TMRy+vpDTPwdyC5GtHDcyzUlXfw2NvnsBuNrC8Iou8DCtv7G1k26HWpOcClOTasRj1vO+COZTlOfjhfbtoaPcwsD186r0Lue8FmbDWDVqF9XMr2CrXYCg5SqytBMXjQmMKoE1vI9ZaSm6GjeJsG95AhKN18Zik0jwHH7xkHnML01BVle/f+y6d7iDhyKmp+VqNhh99ai25GcPPGEvlN5VknK43FI7hC0bIcE7dEOBIKIqKPxTFYtLx1r5mjtZ1YzMbuG5jOWm2uAdWVVUCoSgHTnRR3+YlpijYzAZauvysX1ZI0B/GYTUQCEUx6LWU5Tk4UttNlztEe2+APVUd+ENRQuEYiqpSkmMnL9NKJKpQ2+ohJ92CTquhozdIa3eApXMzOa8ii6w0C3qdhlAkxrzCdBRVpaM3QI83jMtuQqfTkJ9pRTcO6TBGy2xvz6mO0Js6pNRwW3u7B384yCtVu9l55Dku2NdGSUuEJy5Op8aZRbS9kFhXHkRNoI1iKDlKWaQWXQyO+VcS681hkaGeq6reRKfEi/rQ5S7e91oPpujQoneXZbHoy9/BbhtsyHS5g9gsBkxJ3nS9gQhf/J+3Rq3rhk3laACr2YDDamDNglz2VLejNxpwWfT8+fkj1LScuXGeV5HFmgW5zClwkj1MWgNvIEI0pnCktptVUjaGJF4/fzDCq7sbWT4vi+IcO4qi4g1EcNpODUUqqsodPztz5uTTyXCaKMq2o9NqqChK54o1xYlZbwNvwv62GY4o9PpCZKVb+PvLVdS2evjQpZUUZtkw6LUcrumiwx1kQYkrYYApqorbFybNNvp11CaLaExBVcGg15Kd7eDlbSfZsr8Zu0XP9sOthCMKJqOOBSUuNizJY6WUM6bvC4Si7K5qp6M3yKal+UMMsC53kNpWDx5/BF8wgj8Yz6eUn2ll3aI8qut7eODlalq6fERjw9/aybyXYyEvw0pL1/CJOPU6zYjlGe6c0jwHTquRdIcJm9mAxahj1fycYe+XsZDKD5VkCL2pTSrrHUvg9oXAx4ErgT8Av5Jlefjll5n8wO0n97/NW43voGtdjCmaRmOHD71Oy5oFOWw9OPwqzpnhbj5V98ygbfbrrsWelU/U46Zn7y7S1qwj48JL0Gi1BMNROnuDdPQGefCVatp6AjhtRr5362pcjngagUhUweMP880/biPWZ4BdtbaEmy6ai8cXRqfTotVosJh0PP7mCZ7bVpu0bBlOE13u0KBtOq2GklwHMUWhrtVLmt3IwtIMLlxewLyiuAdnMt+SATp6AuyuaudoXQ97j3UM2vftj6+iMMtGjzfErqp2Hn39+LDXuXRFEa3dftYvLWCtlE1bT4DH3jjOLrl92HOScfqDuijbxi0Xz2PxnOTJFs+Ft/Y3sf1QK5XF6axfnMfe6g5UVeV4Yy+ZaWaWzskkL9OGy2FKeADbe4I0tHtp7vRzuKYrMUzU30ZGwmLSEwhF0Wo0rKjM4oLlBcwvcfHKzgaefvskwXCMxXMyqG7oJRSOcfF5hVy6soguT5AdR9rYsv/UkiNmo47yfCcluXZONnto6fTh9g9dfmQkrCY9GU4zBr2W96wqYtvBFg6e7Bp0TEVRGvmZNtYuyKHHGwZN/N443uyh2x2gxxPG7QsRjalkOM0U59gpyLKSl2EjEotRnOOgMMtGIBQlEIrS5QkRDEepLEpHq9WgqqDVQjSmcqSmmx5fiJZOPx5/hB5vCFVVMRl0ZKVbMOq1ie31bV56fckNObvFgM1i4P0XzcVi1DG/1DVmAzuVHyrJEHpTm1TWO+vyJPWjKCqb9zRSmudAp9VgNekxGnTc9fgBTja7McVCfPnkw4njK+7+85Ds1IFQlBPNbn710N7TL58gL8OKxx/GFxy82OHPP7v+jIHNr+9t5L4X4tnAC7NsNHbEhwcHPkSLc+x8++Mrk3p9phMv7ajjlV0NfOcTq3BYjUP2R2MKz26tIaaoZKaZE7pHy+LyDHzBCCeb423AaNAyv8SF2ahjx5G2QcdmOs10DkjIeV5FFp9732J8wXh+rBd21JHrsmK3GCjOtVOUPfzq225fGLc/zFNbTo7acJtfkk6nO0h7z+CUDyajjuJsO40dXgJ9kwFcDhOXrCjkgmUFGPU65PpuTjS5eW13I97A2RkxySjLc6ACtUm8kaV5Dkx6LeY+46fbHWROgZN9xzs50eRmzYIclszJZP3iPLTDGA1uX5huT4jCbBtajWbYmaTToZMNhqN09Abx+CPEYgqHa7o50dRLVUPvkGNXVmajqCp7quMvAHMLnFQWp3Pt+WWYjDoURU14BfsZmCdtOuidTITe1CaV9c5aI2kkqup7+OkDu9GqCmu6D3HQOZeCsnzuvH4xHn+Y57bVoqjqkIeiy2Hiho3lLCrP4If37Yy/KZ/GsrmZ3H7tQuyW0U1jr6rvITvdkvBIRWMKep2WmnYfB6vbuWRFEVbz5K5lNRk0dviobXETCMVo6fLz6q5TOZWWz8vijmsXYjJq0Wm1BEJRLKZTv4HbF0an02Azx3/jbk8InU6D2aBLBPseb+rl7y9XJYyqkdi0NJ/FczKxGHW8truRXl+YvAwrJ5rdtJ427HPDxnJiikptqweTQYdOq6E4145eq6W6sZfjjb109yUyLcmxc/6SfILhKDqthktWFGEx6VFUlZhGSygQHradxBSF441uth9uxajXcrS2m7o2LzkuC3PynWzouy5oKM21E1VUdhxppbq+B48/QjAc48u3LEsMQza2e3n67RrePdpGXoaVb398JVbz5OWHms6dbK83xKu7G+nxhgZ5386WTKeZ266ez4JSFzk5zmmrdyKYzvU7EcxGvVUnOnj3SCvHm9zUtnhItxuxmPQ0d/lZtzCXTncw8fK3/3gn2elmFpVlUJBtS3j5F8/JGDYOd6oQRtIwHGvs5cf3J8/yPJBMp5lLVxaxZkHOoJgOVVWJRBVONLlR1Lh3pMsdYn5J+rjEwsy2m9DmMHPkWDtmo44c1/gsCRJTFGpbvDy7tSYxJOiwGrCZDSiqSlv3iKPHCVwOE6vn53DpyqJRxa/0ekMYDbpBht3pzLb6nUl63f4wf3+5Cm8gwoJSF8vmZtHc5efVnfVJvU6nY7cYuO6CuayYmzFtA/HHm5lUv+PBdNHb39eYDDo0Gjh4sotdchsGffwFLhJTcNlNXLGmBL1OQ483jNmow2zUDV64WVHZd7wDDRrK8uOxe55AhBNNvWzZ38zh2m5C4XPPtTcQnVbDZauKyc+yskrKGbGfnAyEkTQCHn+Yf7x+nI6eQGK2lk6rYXlFFmV5DrrcIa5YUzxuD+2zYbrchJPFROvt9YWxmfXodYOHVPdWd3C0rpu6Vg8N7T6C4RgXLitAKknHH4qySsqeEI+LqN+ZSSQaw6DXoaoqKvHJEFsPtLB2YS7vHmnlcG03xxt7E8PvNrOe269dyLK5mcQUdUj7OxuGW/ZotATDUd453Mr6RXnDpldQFPWcku+OZ/12e0JYTDrMxunrQZ/K9hyKxHj41Wpe39t0VudpNPGVp/qZW+CkPN/J9sOtox7aL8y2cfmqYlZK2TS0+2jp8lNRlMbhmm66PEGKsu3EYip7qttZtygPVY2n80izm6hv9fLctppBoSn9ZZpXlEZTuw9/KMqi8gwa2rxUFKXx2RsWT/gEHGEkjRJVVdld1UF2upmSXMeEfc9oSZWHymiZDnrH+hA6G6aD3slkNun1BSO8vq+ZxzYfS7o/P9OKw2KgLN/JdRvKRxxOV1WV7Yda2XqwmWONbuYVOvn8jUtoaPfx4jt1hKIx/MEoWq2Ga9eXsaA0HUVlyMzbHm+IR147xvbD8bQh120o42hdD8cbe7liTQlarYaq+h5qmt1kppl5z6piLj5v9Ms5nV6/iqqyZX8z3Z4Qy+dlUZJrR6PREArHOFrXTXVDLyajjkMnu/AHI6hAfoaVQCjKoZpuNBrISjMztzCNiqJ06ls9HGvspa07QDiqYDLo+NGn1pJuNyWWjlSBwzVduBxm6ts87K3uwGjQUVGYhl6nJRiJodNqSLcbcfsiuJwmSnMdiSHv/gf6aOI/J6I9K6rKnqp2guEYNS0eMhwmDHotaXYTe6s7OHCiM6kxYzLoSLMbCYZjGPVaMp1m5pe6sJn1dHtDuH1hqhviv12azTjsBIaibBt5GVaCkRgHT3SRZjeyZn4uUkk6c0szaG/3Mq9o7ENlB050UlXfQ0unn11Vw8d5Gg1afv/lC8e8YsaZEEbSDEXoTW2E3tQmO9vByboufvbA7sSEjGQ4rAa+84lVvHO4ldauANnpZkwGHZuWFRAMx/jn9lpeGRCvNxoMei2LyjJo6vDR5QmS47LSNEIZRuK8iiw+clkl6XYTWq2Go7XdPPRaNfVtXpbMySTNZkSv1+KwmTDpNHFjJBzl+XfqBg3PpNmN5KZbkg5XGvRaIlFl0DazUUdwFMM7RoOWWEwlpqgjGgAjUZ7vpDTXztG6Hlq7/GxaVsBHL69MeP0UVR0yceH09hwIRYkp6rAxhsFwlJpmD7kZ1kT8aSgSY+uBZurbffR4QhypG/2QVm6Glduums+8orRhJ1WMRGdvkOrGHvRaLQVZceNoJGNkou5fVVU5dLKLXl+YdYtyOdbQS5c7FE+Tkm6hNG/iHRbCSJqhCL2pjdCb2vTrjcYUth1qQVFUlldko9GA02rkeFMv//fskSETA4ajMNvG8nlZvLKrYdCD9ONXSNgsBnZXtXPwROeQWbYDcVgNXLGmhD1V7eRmWJGK0/EGIuw91kFJroNAKMotF8/j3aNtPPBy1ZDzF5VncOi0lA9n4rJVxbR1+9l3fHB2/zULcpCK00l3mDivIpumDh+93hChqML8knTMRj2dvUF2HG1lt9yOVqthw5J8en1hfIEI7xxpxWLUo9NpaGw/ZQAaDVqcViMZDhPnL8knGlPiHhS7EUVR6fHGc6g5rAaaOvy8vLM+ablzXBay08wcqukGwGLScdtVCyjIslHT4qa+w09Lu3eILqfNSGGWjbJ8B7urOjAZtNQNWDpLr9Myr9BJIByjvtWLkuQ5fPnqYkKRGHML0mjp8tPW7SfDaWbj0vwRZ+JOJKl8/wojaYYi9KY2Qm9qMxq9pyeeLc6x47QZE4aIzaynsjidD11aQVbfhAFFUdl/vBOzUce8orSkMU6NHT7eOdzKwlIXGg1EYgrzS1xnFQ8VDEc50eTmvhdkujzBIck7b79mAb5gtC8epYvaNh9ZDhOZaWYa2r2YDLpBEx28gQiHa7oozLZTkGkd92FtVY0nvU2WfmQkwpH47NqmTh9FWXZcThP/2HyMN/ed3SxHo15L+DRv2EBsZj0uh4mWrgDR2KnjVs/PYXlFFjqtBq0mHg87lri1iSKV719hJM1QhN7URuhNbUar1+0P8/y2Wi5ZUZiYIBKNxZdhKc11TJsHpqKofbm/AlQWpw8pV6rVb0dPgJauuAfHYTXw4o56alrcWIx6ujwhIjGFT149P7GCQL/R5wtGaOsO4PGHE0ZbYVY8waxGo0FRVALhKG5fmKw087TPf9dPqtXvQIYzkqbvtAGBQCCYJTitRj54acWgbXqddtrlktFqNWSnWyZkCZfpSFa6JeG9A7j5ormD9g9nNNjMBsrzh58Nq9XG87vZJjFHmeDcmB6vJwKBQCAQCATTDGEkCQQCgUAgECRBGEkCgUAgEAgESRBGkkAgEAgEAkEShJEkEAgEAoFAkARhJAkEAoFAIBAkQRhJAoFAIBAIBEkQRpJAIBAIBAJBEoSRJBAIBAKBQJAEYSQJBAKBQCAQJEEYSQKBQCAQCARJmJAFbgUCgUAgEAhmOsKTJBAIBAKBQJAEYSQJBAKBQCAQJEEYSQKBQCAQCARJEEaSQCAQCAQCQRKEkSQQCAQCgUCQBGEkCQQCgUAgECRBGEkCgUAgEAgESRBGkkAgEAgEo0CSJPHMnGVMywqXJClnqssgmDgkScqe6jJMJpIklU51GSYTSZIKp7oMk4kkSQskSbJPdTkmA0mS5kuStGE2GQuSJC2RJOl3kiTZZFlWpro8E4kkSSVTXYbpxrTKuN3X0dwAbASOA2/LsrxVkiSNLMvTp6DjhCRJFuAXwAuyLD8rSZJOluXYVJdroujTeyNwDXAEeFiW5aqpLdXEIUmSjbjWjwFVwIuyLL80taWaWCRJ+jjwb8B/yLL8pCRJ2lR9sEiSlA78B3AhcLssywenuEgThiRJVuBq4ArgGWCzLMueqS3VxNJXv98E1gFtwH/Ksnx4aks1MfQ9e68DbgbqgOdTva8aLdPtbeAWQAG+D6jA1yVJkmRZViVJ0kxpySaGJUAx8CsAWZZjKaoTSZJWAncBNcC3gA3A8qks00QiSdIi4G6gHfg0kAkU9u1LuToe4FnQAbuAmyVJssuyrKSo3mXA88SN/fOBYynuXdkEdAB3AoeBqCRJekjZ9nwZIANNwE3AQeKGUsohSZIZ+AYQAj5P/B7OnNJCTSOmzU3d18F8EDgoy3IL8CBxb9LXAVLJkzSgU0kHbgc6JUn6Vt+2aVMn40wXcBLYKsvySeAt4kZiqnISaJdlebMsy81ANxDrMxxSpi1DvD0P8BblAG8CHuDDkiRlpprePqqA14F3gDuIG/6/lyTplqks1HgjSZKmr7+6nviL6weBjwM/J+5lSam+eQDbgF/Ksvz/ZFnuAjTAVVNcponkY8Cxvr6qB5gjSVL5FJdpWjBlD2RJksolSfq0JElOgL5Odhfw3b5DmoAnAbskSdIUFXPcGKh3QKeyVZblDuA/gS9KkpTV502a8YbSAL1pfZuagbsGaK8m/pBJiRilJO3ZT9wjiiRJm4AMYAHwV0mSLp6ygo4Tp7dnSZJ0kiQZgEbgr8AJ4DPAV/qOn9HehiT1GwDeAL5IfBj1O8Q9LDdKkjSjPaSn123fPXsQ+BmwU5bl7xL3ol0qSdJFU1nW8SJJ/XqB/+nbpyXeX1X1fU61thwk7pT4L0mS/gYYiXuT/iJJ0pVTWNRpwZQ8jCVJMhJ3791I/A2ln78BJZIkXdl3YzYS90D0TH4px4/h9PbdiMiy/CJxg+FHfbusk1zEcSWZXlmWg7IsD6zHBcDbkiQtAD40+aUcP0ao3369e2VZ/gTwPeId7Yx2ZQ9TvzFZliPEh1E/DGQDhwCdJEmVM9nbMEL9vgj8Vpblmr5NTwI+wD/ZZRwvRuibXyR+z67q+/wWsAOITGoBJ4AR6jfc91cBsoDL+j6nYlv+D+IOiuOyLH8T+C/gVcAxFeWcTkyVx8II7AdeAdZLkjSnb3s18Bfg15IkmYA8QE/czTuTOV1vOQyZTvrvwKckSboXyJ38Io4rA/WuO11vX5BgGvGb9E9AaIa/nQ1Xv/2abH1/VwPzgaOTXsLxZTi9mUAD0EJ8+Okw8H5gUyrWL4Asy4clSZrX97GQ+EPFO/lFHDeG65trgB9wytO/GCgh7vGf6Qx7/w5ot08D3hTw8g/blokbwbf2/b+eeB3P9L5qzEzK7DZJkuYTt1xfAQ7LsuyVJEkHLAM+27ft1wOO//6A0//UN046YzgbvX03oYn4rJGrgF/LsixPTcnPjXOo3+uB+4B7gHtkWT40BcU+Z86yfi3Eh52WEvcWvibLcv2UFPwcOUu9LlmWu/uGWa8F3pFl+dhUlf1cOIf79wfAHGAz8ZmqDVNT8rPnHO7dnwNh4t6yv8qy3DgFxR4TZ6u575z3AVZZlh+Y9AKPgbNsyxnAH4AgsI/47OMZV7/jzYQZSX3BnKokSZ8FnMQDWS8EbLIs3zrguC8St1h/LcvykQHb9bIsRyekcBPAWPT2zRJx9gUIzgjGqHcDUCzL8kOTX/JzY4x6K4BsWZa3Tn7Jz41z0PubgdOjpRmWtmOM9VsMFMiy/M7kl/zsGaNWLWDsi2OZMYz1eTSTGMu9K8VTPeT2Ta4RMEHDbX1vV5a+j+nE364eIe6qvUmSpMsHHP4P4m8mv5Qk6fN9Y6bMNAOJs9f7q369sixHZ5qBxNj0vj3TDCTOXa9JluXqmWYgcfZ6f3Ha/TujDCTGVr/1M8lAYmz3rjITDSTGoHlySzs2xvjsNcmy7BcG0mDG3UiSJGk98N/Ef/hFxC3YUgBZljuJB6/+csApOuIxOHuB+/qD5WYKY9C7B6F32jMOekOTW+KxIe7f1K3f2XbvwuzSPJva8mQybsNtUjwY9/vEg68fAf6P+I/fA3xBluX5fceZgCeAb8qyfECSpCzAPJPG8UHoRegVeoXeGcFs0trPbNI8m7ROBePpSeqfsv+KLMvdxHP/rJFl+S7i2Vm/1HdcJvGI+cMAsix3zNBKEnqFXhB6hd7pz2zS2s9s0jybtE46+nG8lh94VB48c2db39/vAFdKkvQLwA3skmf+GmVCr9Ar9M5cZpPe2aS1n9mkeTZpnXTGzUjqC9QcWEmlxNc1gnhuhh8TTzB3sm98dEYj9Aq9CL0zltmkdzZp7Wc2aZ5NWqeC8fQknU4+0CVJ0oPEF857SZbl2gn8vqlG6BV6UwmhN3X1ziat/cwmzbNJ64QzIXmSJEnKA7YCB4BH5BmWgOtsEXqF3lRC6E1dvbNJaz+zSfNs0jpZTJQnSSGeTfmXs2RaodCb2gi9qc1s0jubtPYzmzTPJq2TwqQsSyIQCAQCgUAw05jpi/UJBAKBQCAQTAjCSBIIBAKBQCBIgjCSBAKBQCAQCJIgjCSBQCAQCASCJAgjSSAQCAQCgSAJE5lMUiAQCIZFkqQNwA+BhcQX3nQBduBeWZYfPcO5twIXybJ86wQXUyAQzGKEJ0kgEEwJsiy/DfyV+HIJn5Fl+QPAHcB3JEn68tSWTiAQCIQnSSAQTCNkWW6WJOkbwGOSJD0O/A44RHwF852yLP9RkqQK4KNAoSRJdwHPyLL8oiRJXwQqgQCQDnxZlmXv1CgRCASpgDCSBALBdONdwAbkAL+SZXkzgCRJ+yVJelqW5WpJkv5GfLjtC337LgWuk2X5PX2ffwh8A/julCgQCAQpgTCSBALBdEULXCRJ0ocAP5ABzAWakhx7FZAlSdIf+z5nAc2TUkqBQJCyCCNJIBBMN1YDPuAS4DxZlq8DkCRpOaAb5hwNsE2W5c/2HasBrJNQVoFAkMKIwG2BQDBt6FvF/OfA94jHIXX1bdcCRQMODQI6SZI0kiR9AvgncLEkSf0vfjcAX5q0ggsEgpRELHArEAimBEmS1gP/BSwGHiWeAiANuF+W5YclSSoBHgKqgU7gemA/cDtgAR4DjgGvybL8Z0mSvgScD9QDZuCrsiwHJ1eVQCBIJYSRJBAIBAKBQJAEMdwmEAgEAoFAkARhJAkEAoFAIBAkQRhJAoFAIBAIBEkQRpJAIBAIBAJBEoSRJBAIBAKBQJAEYSQJBAKBQCAQJEEYSQKBQCAQCARJ+P9TITorXo7ilwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "data[sel].cumsum().apply(np.exp).plot(figsize=(10, 6));\n",
    "# plt.savefig('../../images/ch15/strat_ml_09.png')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Sequential Train-Test Split"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 90,
   "metadata": {},
   "outputs": [],
   "source": [
    "split = int(len(data) * 0.5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 91,
   "metadata": {},
   "outputs": [],
   "source": [
    "train = data.iloc[:split].copy()  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 92,
   "metadata": {},
   "outputs": [],
   "source": [
    "fit_models(train)  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 93,
   "metadata": {},
   "outputs": [],
   "source": [
    "test = data.iloc[split:].copy()  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 94,
   "metadata": {},
   "outputs": [],
   "source": [
    "derive_positions(test)  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 95,
   "metadata": {},
   "outputs": [],
   "source": [
    "evaluate_strats(test)  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 96,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "returns           0.850291\n",
       "strat_log_reg     0.952898\n",
       "strat_gauss_nb    0.941172\n",
       "strat_svm         1.020519\n",
       "dtype: float64"
      ]
     },
     "execution_count": 96,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "test[sel].sum().apply(np.exp)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 97,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "test[sel].cumsum().apply(np.exp).plot(figsize=(10, 6));\n",
    "# plt.savefig('../../images/ch15/strat_ml_10.png');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Randomized Train-Test Split"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 98,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.model_selection import train_test_split"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 99,
   "metadata": {},
   "outputs": [],
   "source": [
    "train, test = train_test_split(data, test_size=0.5,\n",
    "                               shuffle=True, random_state=100)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 100,
   "metadata": {},
   "outputs": [],
   "source": [
    "train = train.copy().sort_index()  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 101,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>lag_1_bin</th>\n",
       "      <th>lag_2_bin</th>\n",
       "      <th>lag_3_bin</th>\n",
       "      <th>lag_4_bin</th>\n",
       "      <th>lag_5_bin</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Date</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>2010-01-12</th>\n",
       "      <td>3</td>\n",
       "      <td>3</td>\n",
       "      <td>0</td>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2010-01-13</th>\n",
       "      <td>1</td>\n",
       "      <td>3</td>\n",
       "      <td>3</td>\n",
       "      <td>0</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2010-01-14</th>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "      <td>3</td>\n",
       "      <td>3</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2010-01-15</th>\n",
       "      <td>1</td>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "      <td>3</td>\n",
       "      <td>3</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2010-01-20</th>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "            lag_1_bin  lag_2_bin  lag_3_bin  lag_4_bin  lag_5_bin\n",
       "Date                                                             \n",
       "2010-01-12          3          3          0          2          1\n",
       "2010-01-13          1          3          3          0          2\n",
       "2010-01-14          2          1          3          3          0\n",
       "2010-01-15          1          2          1          3          3\n",
       "2010-01-20          1          0          1          2          1"
      ]
     },
     "execution_count": 101,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "train[cols_bin].head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 102,
   "metadata": {},
   "outputs": [],
   "source": [
    "test = test.copy().sort_index()  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 103,
   "metadata": {},
   "outputs": [],
   "source": [
    "fit_models(train)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 104,
   "metadata": {},
   "outputs": [],
   "source": [
    "derive_positions(test)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 105,
   "metadata": {},
   "outputs": [],
   "source": [
    "evaluate_strats(test)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 106,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "returns           0.878078\n",
       "strat_log_reg     0.807238\n",
       "strat_gauss_nb    0.765009\n",
       "strat_svm         0.730141\n",
       "dtype: float64"
      ]
     },
     "execution_count": 106,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "test[sel].sum().apply(np.exp)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 107,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "test[sel].cumsum().apply(np.exp).plot(figsize=(10, 6));\n",
    "# plt.savefig('../../images/ch15/strat_ml_11.png');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Deep Neural Network"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### DNN with scikit-learn"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 108,
   "metadata": {},
   "outputs": [],
   "source": [
    "from sklearn.neural_network import MLPClassifier"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 109,
   "metadata": {},
   "outputs": [],
   "source": [
    "model = MLPClassifier(solver='lbfgs', alpha=1e-5,\n",
    "                     hidden_layer_sizes=2 * [250], random_state=1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 110,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "CPU times: user 46.7 s, sys: 3.3 s, total: 50 s\n",
      "Wall time: 7.13 s\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "MLPClassifier(activation='relu', alpha=1e-05, batch_size='auto', beta_1=0.9,\n",
       "              beta_2=0.999, early_stopping=False, epsilon=1e-08,\n",
       "              hidden_layer_sizes=[250, 250], learning_rate='constant',\n",
       "              learning_rate_init=0.001, max_fun=15000, max_iter=200,\n",
       "              momentum=0.9, n_iter_no_change=10, nesterovs_momentum=True,\n",
       "              power_t=0.5, random_state=1, shuffle=True, solver='lbfgs',\n",
       "              tol=0.0001, validation_fraction=0.1, verbose=False,\n",
       "              warm_start=False)"
      ]
     },
     "execution_count": 110,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "%time model.fit(data[cols_bin], data['direction'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 111,
   "metadata": {},
   "outputs": [],
   "source": [
    "data['pos_dnn_sk'] = model.predict(data[cols_bin])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 112,
   "metadata": {},
   "outputs": [],
   "source": [
    "data['strat_dnn_sk'] = data['pos_dnn_sk'] * data['returns']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 113,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "returns          0.805002\n",
       "strat_dnn_sk    43.712914\n",
       "dtype: float64"
      ]
     },
     "execution_count": 113,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data[['returns', 'strat_dnn_sk']].sum().apply(np.exp)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 114,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "data[['returns', 'strat_dnn_sk']].cumsum().apply(np.exp).plot(figsize=(10, 6));\n",
    "# plt.savefig('../../images/ch15/strat_ml_12.png');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 115,
   "metadata": {},
   "outputs": [],
   "source": [
    "train, test = train_test_split(data, test_size=0.5, random_state=100)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 116,
   "metadata": {},
   "outputs": [],
   "source": [
    "train = train.copy().sort_index()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 117,
   "metadata": {},
   "outputs": [],
   "source": [
    "test = test.copy().sort_index()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 118,
   "metadata": {},
   "outputs": [],
   "source": [
    "model = MLPClassifier(solver='lbfgs', alpha=1e-5, max_iter=500,\n",
    "                     hidden_layer_sizes=3 * [500], random_state=1)  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 119,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "CPU times: user 8min 2s, sys: 34.9 s, total: 8min 37s\n",
      "Wall time: 1min 15s\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "MLPClassifier(activation='relu', alpha=1e-05, batch_size='auto', beta_1=0.9,\n",
       "              beta_2=0.999, early_stopping=False, epsilon=1e-08,\n",
       "              hidden_layer_sizes=[500, 500, 500], learning_rate='constant',\n",
       "              learning_rate_init=0.001, max_fun=15000, max_iter=500,\n",
       "              momentum=0.9, n_iter_no_change=10, nesterovs_momentum=True,\n",
       "              power_t=0.5, random_state=1, shuffle=True, solver='lbfgs',\n",
       "              tol=0.0001, validation_fraction=0.1, verbose=False,\n",
       "              warm_start=False)"
      ]
     },
     "execution_count": 119,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "%time model.fit(train[cols_bin], train['direction'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 120,
   "metadata": {},
   "outputs": [],
   "source": [
    "test['pos_dnn_sk'] = model.predict(test[cols_bin])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 121,
   "metadata": {},
   "outputs": [],
   "source": [
    "test['strat_dnn_sk'] = test['pos_dnn_sk'] * test['returns']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 122,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "returns         0.878078\n",
       "strat_dnn_sk    1.125420\n",
       "dtype: float64"
      ]
     },
     "execution_count": 122,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "test[['returns', 'strat_dnn_sk']].sum().apply(np.exp)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 123,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "test[['returns', 'strat_dnn_sk']].cumsum().apply(np.exp).plot(figsize=(10, 6));\n",
    "# plt.savefig('../../images/ch15/strat_ml_13.png');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### DNN with Keras & TensorFlow Backend"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 124,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Using TensorFlow backend.\n"
     ]
    }
   ],
   "source": [
    "import tensorflow as tf\n",
    "from keras.layers import Dense\n",
    "from keras.models import Sequential"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 125,
   "metadata": {},
   "outputs": [],
   "source": [
    "def create_model():\n",
    "    np.random.seed(100)\n",
    "    tf.random.set_seed(100)\n",
    "    model = Sequential()\n",
    "    model.add(Dense(16, activation='relu', input_dim=lags))\n",
    "    model.add(Dense(16, activation='relu'))\n",
    "    model.add(Dense(1, activation='sigmoid'))\n",
    "    model.compile(loss='binary_crossentropy', optimizer='rmsprop',\n",
    "                  metrics=['accuracy'])\n",
    "    return model"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 126,
   "metadata": {},
   "outputs": [],
   "source": [
    "data_ = (data - data.mean()) / data.std()\n",
    "data['direction_'] = np.where(data['direction'] == 1, 1, 0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 127,
   "metadata": {},
   "outputs": [],
   "source": [
    "model = create_model()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 128,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "CPU times: user 4.52 s, sys: 673 ms, total: 5.19 s\n",
      "Wall time: 3.21 s\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<keras.callbacks.callbacks.History at 0x7fc1fa3b3dd0>"
      ]
     },
     "execution_count": 128,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "%%time\n",
    "model.fit(data_[cols], data['direction_'],\n",
    "          epochs=50, verbose=False)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 129,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "2132/2132 [==============================] - 0s 23us/step\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "[0.6697825535600673, 0.5830206274986267]"
      ]
     },
     "execution_count": 129,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "model.evaluate(data_[cols], data['direction_'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 130,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([0, 1, 0, 0, 0, 1, 1, 1, 1, 0])"
      ]
     },
     "execution_count": 130,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pred = np.where(model.predict(data_[cols]) > 0.5, 1, 0) \n",
    "pred[:10].flatten()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 131,
   "metadata": {},
   "outputs": [],
   "source": [
    "data['pos_dnn_ke'] = np.where(pred > 0, 1, -1)  "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 132,
   "metadata": {},
   "outputs": [],
   "source": [
    "data['strat_dnn_ke'] = data['pos_dnn_ke'] * data['returns']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 133,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "returns         0.805002\n",
       "strat_dnn_ke    4.840414\n",
       "dtype: float64"
      ]
     },
     "execution_count": 133,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data[['returns', 'strat_dnn_ke']].sum().apply(np.exp)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 134,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "data[['returns', 'strat_dnn_ke']].cumsum(\n",
    "        ).apply(np.exp).plot(figsize=(10, 6));\n",
    "# plt.savefig('../../images/ch15/strat_ml_14.png');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 135,
   "metadata": {},
   "outputs": [],
   "source": [
    "mu, std = train.mean(), train.std()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 136,
   "metadata": {},
   "outputs": [],
   "source": [
    "train_ = (train - mu) / mu.std()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 137,
   "metadata": {},
   "outputs": [],
   "source": [
    "model = create_model()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 138,
   "metadata": {},
   "outputs": [],
   "source": [
    "train['direction_'] = np.where(train['direction'] > 0, 1, 0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 139,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "CPU times: user 2.64 s, sys: 388 ms, total: 3.03 s\n",
      "Wall time: 1.93 s\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "<keras.callbacks.callbacks.History at 0x7fc1faf0b3d0>"
      ]
     },
     "execution_count": 139,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "%%time\n",
    "model.fit(train_[cols], train['direction_'],\n",
    "          epochs=50, verbose=False)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 140,
   "metadata": {},
   "outputs": [],
   "source": [
    "test_ = (test - mu) / std"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 141,
   "metadata": {},
   "outputs": [],
   "source": [
    "test['direction_'] = np.where(test['direction'] > 0, 1, 0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 142,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "1066/1066 [==============================] - 0s 34us/step\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "[1.7082206719811817, 0.501876175403595]"
      ]
     },
     "execution_count": 142,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "model.evaluate(test_[cols], test['direction_'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 143,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([0, 1, 0, 0, 0, 0, 1, 0, 0, 1])"
      ]
     },
     "execution_count": 143,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pred = np.where(model.predict(test_[cols]) > 0.5, 1, 0) \n",
    "pred[:10].flatten()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 144,
   "metadata": {},
   "outputs": [],
   "source": [
    "test['pos_dnn_ke'] = np.where(pred > 0, 1, -1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 145,
   "metadata": {},
   "outputs": [],
   "source": [
    "test['strat_dnn_ke'] = test['pos_dnn_ke'] * test['returns']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 146,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "returns         0.878078\n",
       "strat_dnn_sk    1.125420\n",
       "strat_dnn_ke    1.040145\n",
       "dtype: float64"
      ]
     },
     "execution_count": 146,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "test[['returns', 'strat_dnn_sk', 'strat_dnn_ke']].sum().apply(np.exp)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 147,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "test[['returns', 'strat_dnn_sk', 'strat_dnn_ke']].cumsum(\n",
    "        ).apply(np.exp).plot(figsize=(10, 6));\n",
    "# plt.savefig('../../images/ch15/strat_ml_15.png');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "<img src=\"http://hilpisch.com/tpq_logo.png\" alt=\"The Python Quants\" width=\"35%\" align=\"right\" border=\"0\"><br>\n",
    "\n",
    "<a href=\"http://tpq.io\" target=\"_blank\">http://tpq.io</a> | <a href=\"http://twitter.com/dyjh\" target=\"_blank\">@dyjh</a> | <a href=\"mailto:training@tpq.io\">training@tpq.io</a>"
   ]
  }
 ],
 "metadata": {
  "anaconda-cloud": {},
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
